asked 121k views
5 votes
Can two positive integers have their H.C.F and L.C.M as 12 and 512 respectively? justify.

asked
User UTubeFan
by
8.6k points

2 Answers

4 votes

Answer:

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.

answered
User Maxouhell
by
8.1k points
4 votes

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.

HOPE IT IS USEFUL

answered
User Anzel
by
7.9k points

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