Question

show that H.C.F of 12 and 15 is not greater than either 12 or 15​

Answer 1

HCF of 12 and 15 is 3 as it is not greater than either 12 or 15 so the question is prooved...

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Answer 2

Answer:

3

Explanation:

The GCF of 12 and 15 is 3.

One way to find this is to break down these two numbers into their prime factorisations:

12=2×2×3

15=3×5

We see that the only common factor (greater than 1) is 3, so that is the greatest common factor. If the two numbers had more than one prime factor in common, you would multiply them together to find the GCF.

Another method, which does not require us to factor both of the numbers first goes as follows:

Divide the larger number by the smaller number to give a quotient and remainder.

If the remainder is zero then the smaller number is the GCF.

Otherwise repeat with the smaller number and the remainder.

In our example:

1512=1 with remainder 3

123=4 with remainder 0

So the GCF is 3.