The ratio of 2 numbers is 3 :4 respectively. If their gcf is 12, find the numbers?

Let the two numbers be 3x and 4x, where x is a common factor.

Given that the greatest common factor (gcf) of the two numbers is 12, we can write:

12 = gcd(3x, 4x)

This means that 12 is a factor of both 3x and 4x. Since 12 is the greatest common factor, x must be 1.

Therefore, the two numbers are:
3x = 3(1) = 3
4x = 4(1) = 4

So, the two numbers are 3 and 4.

Let the numbers be 3x and 4x.

Given that their GCF is 12, therefore, x = 12.

So, the numbers are 3x = 3 - 12 = 36 and 4x = 4 - 12 = 48.