The gcd of two numbers is eight and their lcm is 360 if one of the number is 72 what's the other number?

Let's denote the two numbers as A and B. We know that the gcd of A and B is 8 and the lcm is 360.

We can use the formula: gcd(A,B) * lcm(A,B) = A * B

Substitute the given values:
8 * 360 = 72 * B
2880 = 72B
B = 2880 / 72
B = 40

Therefore, the other number is 40.

Let the other number be x.

We know that gcd(a,b) = 8 and lcm(a,b) = 360.

We also know that gcd(a,b) - lcm(a,b) = a - b.

So, 8 - 360 = 72 - x
x = 40