Question

Can two positive integers have their H.C.F and L.C.M as 12 and 512 respectively? justify.

Answer 1

No.

Explanation:

The answer is no because 12 has a factor of 3 but 512 hasn't:

12 = 2*2*3

512 = 2^9.

The LCM would have to have 3 as one of its factors.

Answer 2

Here is your answer

NO

Reason:

H.C.F. divides the L.C.M. completely.

Here 512 is not completely divided by 12

So, two numbers can't have their H.C.F and L.C.M as 12 and 512 respectively.

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