Question

HCF and LCM of 404 and 96 and verify that HCF X LCM is equal to product of two numbers

Answer 1

$by \: prime \: factorisation \\ 96 = {2}^{5} \times 3 \\ 404 = {2}^{2} \times 101 \\ hcf = 4 \\lcm = 9696 \\ now \: hcf \times lcm = 9696 \times 4 = 38784 = 404 \times 96 \\ hence \: verified \\ mark \: as \: brainliest \: pleaseee$

Answer 2

Solution :-

HCF of 404 and 96

404 = 2*2*101

96 = 2*2*2*2*2*3

HCF = 2*2 

= 4

LCM of 404 and 96

404 = 2*2*101

96 = 2*2*2*2*2*3

LCM = 2*2*2*2*2*3*101

= 9696

We know that HCF × LCM = Product of the two numbers

⇒ 4*9696 = 404*96

⇒ 38784 = 38784

Hence, it is verified.

Answer.