The GCD of two numbers is 8 and their LCM is 360. If one of the numbers is 72, what is the other number?

GCD(ab) * LCM(ab) = ab

Bek

To find the other number, we can use the fact that the product of two numbers is equal to the product of their GCD and LCM.

Let's call the other number "x".

Given:
GCD of the two numbers = 8
LCM of the two numbers = 360

We can write the equation as follows:
72 * x = GCD * LCM

Plugging in the given values:
72 * x = 8 * 360

To find the value of x, we can solve for it by dividing both sides of the equation by 72:
x = (8 * 360) / 72

Calculating the value of x:
x = 40

Therefore, the other number is 40.