If the Greatest Common Divisor (GCD) of two numbers is 8 and their Least Common Multiple (LCM) is 144, and one of the numbers is 16, what is the other number?

Explanation

Given that the GCD of the two numbers is 8 and their LCM is 144, and one number is 16, we can use the relationship: (Number1 × Number2) = GCD × LCM. Substituting the known values: 16 × Number2 = 8 × 144, which simplifies to Number2 = (8 × 144) / 16 = 72. Therefore, the other number is 72.