The H.C.F and L.C.M of two numbers are 12 and 336 respectively. If one of the number is 84, the other is ?

Given:

H.C.F = 12

L.C.M = 336

One number = 84

Concept:

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

Formula Used:

Let the other number be x.

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

84 × x = 12 × 336

Calculation:

⇒ 84 × x = 12 × 336

⇒ x = (12 × 336) / 84

⇒ x = 4032 / 84

⇒ x = 48

∴ The other number is 48.