Question

hcf and lcm of 404 and 96 and verify that hcf ×lcm=product of two no.

Answer 1

HCF :-
 
404 = 96 x 4 + 20
96 = 20 x 4 + 16 
20 = 16 x 1 + 4
16 = 4 x4 + 0 
 
HCF = 4 .

LCM : -

404- 2x2x101
96  - 2x2x2x2x2x3

common - 2x2 
un common - 101x2x2x2x3

common x uncommon = 9696 = LCM

LCM x HCF =>
9696 x 4 = 38784

Product of no.s = >
404 x 96 = 39784 

LCM x HCF = Product of 2 no.s 
hence proved