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Using Prime Factorization, Find the Hcf and Lcm Of 8, 9, 25 . - Mathematics

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Using prime factorization, find the HCF and LCM of  8, 9, 25 .

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Solution

8 = 2 × 2 × 2 = 23
9 = 3 × 3 = 32
25 = 5 × 5 = 52
HCF = product of smallest power of each common prime factor in the numbers = 1
LCM = product of greatest power of each prime factor involved in the numbers
= 23 × 32 × 52 = 1800

Concept: Euclid’s Division Lemma
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