Question
Find the HCF and LCM of 18 and 30.
Solution
Prime factorization: 18 = 2 × 3² 30 = 2 × 3 × 5 HCF = product of common prime factors with smallest powers = 2 × 3 = 6 LCM = product of all prime factors with highest powers = 2 × 3² × 5 = 2 × 9 × 5 = 90 Answer: HCF = 6, LCM = 90.
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