Using prime factorization, find the HCF and LCM of (i)96, 404 (ii)144, 198 In each case verify that HCF × LCM = product of given numbers
Using prime factorization, find the HCF and LCM of (i)96, 404 (ii)144, 198 In each case verify that HCF × LCM = product of given numbers

Answers:

(i) Using prime factorization,

96 = 25 × 3

404 = 22 × 101

HCF = 22

HCF = 4

LCM = 25 × 3 × 101

LCM = 9696

(ii) Using prime factorization,

144 = 24 × 32

198 = 2 × 32 × 11

HCF = 2 × 32

HCF = 18

LCM = 24 × 32 × 11

LCM = 1584