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

Real Numbers (10)

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.

  • Exam Year: 2018
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