Question

Given that the LCM of two numbers is 168 and their product is 1008. Determine
the H.C.F.
(a)12
(b) 8
(c) 6
(d) None of these
​

Answer 1

HCF × LCM = Product of numbers

Let the HCF = x

Then,

168 * x = 1008

x = $\frac{1008}{168}$

x = 6

_______________________

H.C.F = 6

Option (c)

BTW how is my drawing?

Answer 2

LCM*HCF = Product

168*HCF = 1008

HCF=1008/168

HCF=6

Hence the answer is

(c)6