The H.C.F and L.CM of two numbers are 8 and 504 retrospectively. One of the number is 72, find the other number.

504/72=7

The Atief and Elsie move to numbers are eight and 500 for respectively one of the numbers 72 find other number

Find the other number

To find the other number, we can use the relation between the Highest Common Factor (H.C.F) and the Lowest Common Multiple (L.C.M) of two numbers.

The H.C.F of two numbers is the largest positive integer that divides both numbers without leaving a remainder. The L.C.M is the smallest multiple that is divisible by both numbers.

Given that the H.C.F is 8, we can write:
H.C.F = 8

We also know that the L.C.M is 504:
L.C.M = 504

We are given that one of the numbers is 72, so let's assume the other number is 'x'.

Now, we can use the following formula to relate the H.C.F, L.C.M, and the numbers:
H.C.F * L.C.M = product of the two numbers

Substituting the given values, we get:
8 * 504 = 72 * x

Simplifying the equation:
4032 = 72x

To find 'x', divide both sides of the equation by 72:
x = 4032 / 72

Simplifying further, we get:
x = 56

Therefore, the other number is 56.