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Using Prime Factorization, Find the Hcf and Lcm Of 144, 198 In Case Verify that Hcf × Lcm = Product of Given Numbers. - Mathematics

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Using prime factorization, find the HCF and LCM of  144, 198  In case verify that HCF × LCM = product of given numbers.

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Solution

Prime factorization: 

144 = 24 × 32
198 = 2 × 32 × 11
HCF = product of smallest power of each common prime factor in the numbers = 2 × 32 = 18
LCM = product of greatest power of each prime factor involved in the numbers = 24 × 32 × 11 = 1584

Concept: Euclid’s Division Lemma
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