The HCF and LCM of two numbers are 8 and 504 respectively one of the numbers is 72 find the other number

Let the numbers be A and B.

A basic formula:

A * B = HCF * LCM

In this case:

A * B = 8 * 504

A * B = 4032

If one of the numbers = 72, the other number = 4032 / 72 = 56

The numbers are 56 and 72

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To find the other number, we can use the formula relating the highest common factor (HCF) and the least common multiple (LCM) of two numbers:

LCM × HCF = Product of the two numbers

Given that the HCF is 8 and the LCM is 504, and one of the numbers is 72, we can substitute these values into the formula:

504 × 8 = 72 × Other Number

To find the other number, we can rearrange the equation:

Other Number = (504 × 8) / 72

Calculating this, we get:

Other Number = 56

Therefore, the other number is 56.