Question
Using prime factorization, find the HCF and LCM of:
96, 404
96, 404
✓
Answer
96 = 2 × 2 × 2 × 2 × 2 × 3
404 = 2 × 2 × 101
LCM (96 and 404) = 25 × 3 × 101 = 9696
HCF (96 and 404)= 22=4
Verification:
HCF × LCM = 9696 × 4 = 38784
product of given numbers = 96 × 404 = 38784
⇒ HCF × LCM = Product of given numbers verified.
404 = 2 × 2 × 101
LCM (96 and 404) = 25 × 3 × 101 = 9696
HCF (96 and 404)= 22=4
Verification:
HCF × LCM = 9696 × 4 = 38784
product of given numbers = 96 × 404 = 38784
⇒ HCF × LCM = Product of given numbers verified.
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