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Using Prime Factorization, Find the Hcf and Lcm Of 96, 404 in Case Verify that Hcf × Lcm = Product of Given Numbers. - Mathematics

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Using prime factorization, find the HCF and LCM of  96, 404  In case verify that HCF × LCM = product of given numbers.

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Solution

Prime factorization:
96 = 25 × 3
404 = 22 × 101
HCF = product of smallest power of each common prime factor in the numbers = 22 = 4
LCM = product of greatest power of each prime factor involved in the numbers = 25 × 3 × 101 = 9696

Concept: Euclid’s Division Lemma
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