Question

the H.C.F and L.C.M of two numbers are 8 and 504 respectively. one of the numbers is 72, find the other number.

Answer 1

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Answer 2

Solution:

The other number is 56

Explanation:

Let the numbers are x and y.

We have been given that H.C.F and L.C.M of two numbers are 8 and 504 respectively.

We know that the product of two numbers is equal to the product of their H.C.F and L.C.M.

Hence, we have

$xy=8\times 504\\\\xy=4032$

Now, the one number is 72. Hence, we have x = 72

Plugging this value in above equation, we get

$72y=4032\\\\y=56$

Therefore, the other number is 56