Question

10) The product of two number is 3600. If their LCM is 120.Find their HCF.

Answer 1

The H.C.F. of the two numbers is 30.

Given:

The product of two numbers = 3600

Their  L.C.M. is 120.

To Find:

H.C.F. of the two numbers.

Solution:

Here, we will make use of the concept that

Product of two numbers = L.C.M. x H.C.F.

⇒ H.C.F. = (Product of two numbers) / L.C.M.

It is given that the  product of two numbers is 3600.

Also, their L.C.M. = 120

Substituting these values into the formula, we get

H.C.F. = 3600 / 120 = 30

∴ The H.C.F. of the two numbers is 30.

#SPJ3