Find HCF and LCM of 404 and 96 and verify that HCF × LCM = Product of the two given numbers.
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Step-by-step explanation:
Prime factorisation of 404 = 2 × 2 × 101
Prime factorisation of 96 = 2 × 2 × 2 × 2 × 2 × 3 = 25 × 3
HCF = 2 × 2 = 4
LCM = 25 × 3 × 101 = 9696
HCF × LCM = 4 × 9696 = 38784
Product of the given two numbers = 404 × 96 = 38784
Hence, verified that LCM × HCF = Product of the given two numbers
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