Question

3) If the com of 3 and a
of 3 and a us a, then
their Hcf is
​

Answer 1

Answer:

Let us first take the three numbers as 9570,1 and 1, then

LCM =9570,  HCF =1

Now let us take numbers as 9570,9570 and 9570.

LCM =9570,  HCF =9570

But in the given question, choices have already been given and we are supposed to eliminate values which can not be HCF.

Now , the prime factorization of 9570 is as follows:

9570=2×3×5×11×29

Since, we know that HCF must always be a factor of LCM. Therefore, from the given choices in the question itself, only 11 can be the HCF.

Hence, HCF is 11

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