Find HCF and LCM of 404 and 96 and verify that HCF x LCM = Product of the two given numbers

Find HCF and LCM of 404 and 96 and verify that HCF x LCM = Product of the two given numbers.

Answer

404 = 2 x 2 x 101 = 2² x 101 

96 = 2 x 2 x 2 x 2 x 2 x 3 = 2⁵ x 3 

HCF of 404 and 96 = 2²= 4 

LCM of 404 and 96 = 101 x 2⁵ x 3 = 9696 

HCF x LCM = 4 x 9696 = 38784 

Also 404 x 96 = 38784 

Hence, HCF x LCM = Product of 404 and 96.