Question

The GCF of two whole numbers is 9 and the LCM of the

same two numbers is 135. What could the two numbers be? Prove it.

Answer 1

9 and 135

Explanation:

The GCF is 9, and 135 is divisble by 9. The GCF of a standalone number is itself, and the aforementioned divisibility of 135 by 9 rules 9 as one of the numbers. Since 9 is a multiple of 135, and 9 can multiply to be 135, this makes the second number 135.