Question

the product of two numbers is 2688. if their l.c.m is 336, find their H.C.F

Answer 1

Solution :-

As we know that Product of two numbers = H.C.F. × L.C.M.

Given : Product of the two numbers = 2688 

L.C.M. = 336 and H.C.F. = ?

Let the H.C.F. of the given two numbers be x

⇒ 2688 = 336 × x

⇒ 2688 = 336x

⇒ x = 2688/336

⇒ x = 8

So, H.C.F. of the given two numbers is 8

Answer.

Answer 2

Let me help you with query.
We know that,
Product of two numbers = H.C.F x L.C.M  ....... (1)
Now given that,
Product of two numbers = 2688
L.C.M = 336
We have to find H.C.F
i-e,   H.C.F = ?
From equation (1),
Product of two numbers = H.C.F x L.C.M 
H.C.F = Product of two numbers / L.C.M 
H.C.F = 2688 / 336
H.C.F = 8
Thus the H.C.F of two numbers is "8"
Hope it will help you. Thanks