HCF LCM_6
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00:00you
01:01Jai Hind friends. Welcome to your own family.
01:04How are you all? Tell me.
01:06Mishresh Ma, Shravan Kumar, Avinash Kumar, Prashant, Meena,
01:10Eritrea Ghose,
01:13Ayan Sarkar.
01:15How are you all? Tell me.
01:17Are you enjoying reading HCA Philosophy?
01:20Tell me.
01:22Good evening. Good evening. Good evening.
01:25Good evening. Good evening. Good evening to everyone.
01:27How are you all? Tell me.
01:29Good sir.
01:30It's good.
01:31It's enjoyable.
01:33Hello, brother. Hello, hello, hello.
01:36I am fine.
01:38Great!
01:39As you all know, in this HCA Philosophy series,
01:43the questions I have put up are of high level.
01:46And these questions of high level will take up a lot of your time.
01:51It will take some time for you to ask your questions.
01:54Okay?
01:55But once you learn all these questions,
01:58then you will be able to answer my questions very easily if you sit for any one day exam in India.
02:05Yesterday we got a comment from a student that Sir, I am enjoying a lot but it is taking time.
02:10If you think that it is not possible to get sweets in both hands at the same time,
02:16if you want to improve yourself then it takes time to get better.
02:20For example, when you ride a cycle, there is a big difference in learning in the first 2-20 days.
02:28It is the same thing if I finish a topic in 2 classes or 10 classes.
02:33It is obvious that the more time we give, the better you will get.
02:38So we don't have to take a lot of time.
02:40But yes, we have to take the right time for that topic.
02:45So that we can give you mastery over it and you can do the post-mortem of that topic in a good way.
02:54Aditya Raj asks, did you have a 4.30 class today?
02:57Yes, I had a 4.30 class today.
02:59Yes, I had a 4.30 class today.
03:01So let's move ahead and see the questions.
03:06Read what is said in the following questions.
03:09Read what is said in the following questions.
03:11Say something on NTA.
03:13See, I am making a video for NEET exam.
03:16And very soon you will get the video on my channel Aditya Ranjan Talks.
03:23So you must have seen my channel Aditya Ranjan Talks on YouTube.
03:28And there are a lot of motivational videos on it.
03:31So we are making a video on NEET on that channel.
03:34And you will get to see it soon.
03:37Sir, where should I give a mock test of maths?
03:39Sonia ji, we have not given a mock test of maths in your application.
03:43We have given a mock test of maths in your application.
03:47So why do you need to go somewhere else?
03:49You can apply a mock test of maths from your application.
03:52Do you understand?
03:54Ok.
03:56Ok.
03:58Very good.
04:00Very good.
04:02So let's move ahead and see all the questions.
04:07So we have done question no. 47.
04:09See what is said in question no. 48.
04:12In this question, it is said that the sum of LCM and HCF of two numbers is 4956.
04:19And this is the sum of LCM and HCF.
04:24Then it is said that those two numbers have the ratio 11 and 16.
04:28Then it is said that those two numbers have the ratio 11 and 16.
04:32So what is the difference between the LCM and HCF of a number?
04:35This is such a lovely question.
04:37This is such a lovely question.
04:39You can't even imagine it.
04:41You can't even imagine it.
04:43In this question, it is said that the sum of LCM and HCF of two numbers is 4956.
04:45In this question, it is said that the sum of LCM and HCF of two numbers is 4956.
04:47But the data is given by LCM and HCF.
04:49But the data is given by LCM and HCF.
04:51So how will we do it?
04:53So how will we do it?
04:55First, let's talk about two numbers.
04:57This is of 1.
04:59And this is of 2.
05:01The ratio between them is 11 and 16.
05:03The ratio between them is 11 and 16.
05:05So this value is 11x.
05:07And this respect to this border is 16x.
05:09So this ratio between them is 11x.
05:11Now I have to write LCM here.
05:13Now I have to write LCM here.
05:15Now I have to write LCM here.
05:17Which means what If we write GCMB diagram on two sides of board.
05:19which means what If we write RCMB diagram on two sides of board.
05:21No 7 staff will be gone.
05:23No staff will be gone.
05:25and 16
05:27you can take that
05:29so this will be 11 x 16
05:31will be 176
05:33and this is x, so this will be this
05:35so the lcm of these two numbers
05:37will be
05:39Khushi ji says
05:41I didn't understand, so you start
05:43I didn't even start teaching
05:45I didn't understand, this is amazing
05:47you have written a particular comment
05:49that I didn't understand
05:51and repeat
05:53and as soon as I start teaching
05:55I will delete it
05:57tell me what have you taught
05:59what have you written, I didn't understand
06:01tell me
06:03this is amazing
06:05it's a small thing
06:07in numbers it is said
06:09that in those numbers there are 11 and 16
06:11so take the first number as 11x
06:13and the second as 16
06:15if we talk about lcm
06:17what happens in lcm
06:19we take the common
06:21so this is lcm
06:23if we talk about hcf
06:25so in hcf we take only that number
06:27which is common in both
06:29so here
06:31who is common in both, so x
06:33so we will take x here
06:35this is highest common factor and this is lowest
06:37common factor, so if we
06:39talk about these two numbers
06:41so their lcm will be this much
06:43and their hcf will be
06:45x
06:47now what is said in question
06:49so in question it is said
06:51the sum of lcm and hcf is this much
06:53so if we see here
06:55so in lcm
06:57if we add hcf
06:59what will be the result
07:01so here 4, 9, 5, 6
07:03my brother will come
07:05now you know the value of lcm is this much
07:07and my brother
07:09value of hcf is this much
07:11however I will tell you in a small line
07:13there is no need to do so much drama
07:15my brother is not here
07:17I have always told you
07:19my brother that
07:21see here in question
07:23what is given to you and
07:25what is asked to you
07:27what is given to you and what is asked to you
07:29so if you see in question
07:31here 4, 9, 5, 6 is given
07:33this is one data
07:35so this is my brother 4, 9, 5, 6
07:37and whose value is this
07:39so you will say here
07:41this is sum and whose sum is this
07:43of lcm and hcf
07:45so this is sum of both
07:47so if you add this
07:49so what is the value of this
07:51value is 177x
07:53and what is asked to us
07:55so my brother here
07:57what is asked to us is very simple
07:59that what will be the difference
08:01between them
08:03so subtract 1 from 176
08:05so it will be 175
08:07so this much is asked
08:09so this is very simple
08:11many students are asking
08:13why did you take x
08:15my brother don't take
08:17if you don't take x
08:19things will be easier for you
08:21don't take x
08:23world will not change
08:25nothing will happen
08:27then your 1 will come
08:29so you will say
08:31176 plus 1 is 177
08:33and 176 minus 1
08:35is this much
08:37because in this way
08:39you are taking x
08:41so my brother what happens here
08:43whenever we change the ratio
08:45to variable
08:47we stick a value
08:49we stick a variable
08:51if it is 11 then we make it 11x
08:53if it is 16 then we make it this much
08:55lcm takes common number
08:57and includes non-common number
08:59hcf takes only common number
09:01and ignores the rest
09:03what is given in question
09:05is sum of both
09:07so if you add 1 in 176
09:09and what is given in question
09:11is difference of both
09:13in this way your x and x will be cut
09:15this is of no use
09:17my brother
09:19now if you cut it
09:21how many times it will be cut
09:2328 times
09:25so my brother
09:27if you cut 4956
09:29and that too
09:31with 177
09:33so here it will be 2 times
09:352 x 7 is 14
09:37and this is
09:393 x 7 is 34
09:415 x 4 is 1
09:439 x 5 is 4
09:45if we see here
09:478 x 7 is 56
09:498 x 7 is 56
09:51and 5 x 7 is 61
09:53as I said in 28 times
09:55so my brother
09:57how many times it will be cut
09:5928 times
10:01my brother
10:03and here
10:05you just have to multiply
10:07and give your answer
10:0928 x 5 is
10:1114
10:1328 x 7 is
10:15196
10:17and in 196
10:19if we add 14
10:21210 x 0 is
10:2321
10:2528 x 1 is
10:2749
10:29this is our answer
10:31option no. D for Dev Sena
10:33if you wanted you could have used
10:35digital sum
10:37you could have made this question
10:39with digital sum
10:41so there was nothing in the question
10:43you just had to use presence of mind
10:45and if you would have used that
10:47then this question would have been
10:49solved in a short time
10:51as I said we will make
10:53difficult questions easy
10:55just be patient
10:57let's move on
10:59let's move on
11:01let's see the next question
11:03in the question
11:05the LCM of 165, 176,
11:07385, 495 is K
11:09and when we
11:11divide LCM
11:13with HCF
11:15we get P
11:17so here we have P
11:19so basically first of all
11:21you have to find value of K
11:23and K is
11:25LCM of all these people
11:27what are the numbers of LCM
11:29165, 176, 385,
11:31495
11:33so I said my brother
11:35Pankaj Goswami
11:37where did
11:39177 come from
11:41so Pankaj brother you know this much
11:43whose value is given
11:45we divide with that
11:47so read this value Pankaj brother
11:49in English, in Hindi
11:51what is this value
11:53sum of LCM and HCF
11:55we have to add LCM and HCF
11:57so this is 176 and this is 1
11:59so how much we have to add both
12:01177
12:03so what is the value of this
12:05so 177
12:07so from whom we divided it
12:09so 177
12:11so what is asked Pankaj brother
12:13so difference between LCM and HCF
12:15so here 176 and 1
12:17so what is the difference of 175
12:19so from whom we will multiply
12:21so from 175
12:23so whose value is given
12:25multiply
12:27that's it
12:29now come
12:31so first of all it is said
12:33what I have to take out of these numbers
12:35I have to take out LCM
12:37so let's give some information about these numbers
12:39so this is our 165
12:41this is our 176
12:43after that here 385
12:45after that here
12:47how much will be 495
12:49if we see here
12:51what is said to us
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33:25and what was that question?
33:27there were two types of questions
33:29that when there is a number here
33:31which divides big people
33:33and same remainder comes and different remainder comes
33:35so here I have taught two concepts
33:37if you know
33:39then
33:41if you don't know then
33:43I will revise that concept
33:45what used to happen here
33:47two types of concepts came out
33:49one here same remainder came out
33:51and
33:53one here same difference came out
33:55there was a concept of same remainder
33:57and
33:59there was a concept of same difference
34:01now what was the concept of same remainder
34:03and same difference here
34:05I will explain that also
34:07so in the question it was said
34:09same remainder and different remainder you can say
34:11so in the question it was said
34:13suppose there is a number
34:15260
34:17if we divide it by d
34:19then r remainder will come
34:21if we leave 2 to 1
34:23you can take anything
34:25if there is a number 460 or 420
34:27if we divide it by d
34:29then r remainder will come
34:31so first thing here in the question
34:33is to say d or r
34:35one question was
34:37there were two types of questions
34:39in same remainder
34:41one where remainder is given
34:43and one where remainder is not given
34:45so I will bifurcate that also
34:47in same remainder
34:49suppose there were two cases
34:51and two cases were
34:53one where r value was given
34:55and one where
34:57r value was not given
34:59and one where r value was not given
35:01and one where r value was not given
35:03and one where r value was not given
35:05I will explain all the examples
35:07like
35:09in the question
35:11it was said
35:13suppose there is a number 16
35:15if we divide it by d
35:17then r remainder is 1
35:19and suppose there is a number 17
35:21if we divide it by d
35:23then r remainder is 1
35:25so here in the question
35:27it will be said
35:29tell me the value of d
35:31second question
35:33where r remainder is not given
35:35so here if r remainder is not given
35:37it will be said
35:39there is a number 19
35:41if we divide it by d
35:43then r remainder will come
35:45if we divide it by d
35:47then r remainder will come
35:49now it may be 2 and 2
35:513 and 3, 4 and 4, 5 and 5
35:53it does not matter
35:55it will be same
35:57so first it will say
35:59tell me the value of d
36:01and tell me the value of r
36:03this is what I told you
36:05now if you remember
36:07even a little bit
36:09then you can make a lot of things
36:11like
36:13instead of 16
36:15you can do 26
36:17it will be better
36:19so if you remember things
36:21then how will you be able to speak
36:23so I told you
36:25that here r remainder is given
36:27and here r remainder is not given
36:29what is the solution
36:31in this
36:33you can also do
36:35like this 19
36:37you can do 29
36:39it will be better
36:41so the method we told you
36:43is this
36:45the method of solution
36:47is this
36:49focus here
36:51the method we told you
36:53is this
36:55in both we take hcf
36:57in both we take hcf
36:59when we have to take lower value
37:01we take hcf
37:03when we have to take upper value
37:05we take lcm
37:07if you want to take lower value
37:09concept of d
37:11and d means
37:13hcf
37:15so here we take hcf
37:17so if we take hcf then how
37:19so here r remainder is given
37:21so first minus
37:23before 16 minus 1
37:25and after that
37:27minus r remainder
37:29and after minus
37:31like here 15 and here 25
37:33so take hcf of these
37:35so after minus
37:37take hcf of this
37:39so this is d
37:41so this is d
37:43so the number which is
37:45divided by both is 5
37:47so here is 5
37:49and if you don't believe
37:51then divide by 5
37:535 divided by 3 is 1
37:55and 5 divided by 5 is 1
37:57so what you learn here
37:59so you learn here
38:01when remainder is given
38:03so here we minus
38:05and here
38:07we take hcf
38:09and if remainder is not given
38:11so in that case
38:13if you want to minus
38:15so here you can't do
38:17so if you can't do
38:19then number is 19
38:21and here 29
38:2319 and here 29
38:25so use difference method
38:27and take difference
38:29difference is 10
38:31so here
38:33so this becomes
38:35difference or factor
38:37if you don't believe
38:39then take difference
38:41as divisor
38:43when 10 divide 19
38:45so remainder will be 9
38:47and when 10 divide 29
38:49so remainder will be 9
38:51and r will be same
38:53it is not necessary
38:55that d value is 10
38:57factor of 2 and 5 can be
38:59if you divide by 5
39:01so remainder will be 4
39:03if you divide by 2
39:05so remainder will be 1
39:07so in difference method
39:09what happens
39:11so in difference method
39:13the difference
39:15becomes answer
39:17or factor
39:19and how to know that
39:21on condition
39:23if you want to take biggest value of d
39:25then you have to take 10
39:27and if you divide by 10
39:29then you have to take 10
39:31and r will be 9
39:33now we will understand this
39:35on big level
39:37and we will know big things
39:39same difference case
39:41we will explain later
39:43so you come here
39:45from question no. 52
39:47your journey starts
39:49here it is said
39:51find the greatest number
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53:57So see you in the next class
53:59That's all for today, be happy, be happy
54:01Love you all, take care, bye
54:03Thank you
54:27Thank you