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Using Prime Factorization, Find the Hcf and Lcm Of 1152, 1664 In Case Verify that Hcf × Lcm = Product of Given Numbers. - Mathematics

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Using prime factorization, find the HCF and LCM of  1152, 1664 In case verify that HCF × LCM = product of given numbers.

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Solution

Prime factorization:
1152 = 27 × 32
1664 = 27 × 13
HCF = product of smallest power of each common prime factor in the numbers
= 27 = 128
LCM = product of greatest power of each prime factor involved in the numbers
= 27× 32 × 13 = 14976

Concept: Euclid’s Division Lemma
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