Question
Find the HCF and LCM of 18 and 30.
Solution
Prime factorization: 18 = 2 Γ 3Β² 30 = 2 Γ 3 Γ 5 HCF = product of common prime factors with smallest powers = 2 Γ 3 = 6 LCM = product of all prime factors with highest powers = 2 Γ 3Β² Γ 5 = 2 Γ 9 Γ 5 = 90 Answer: HCF = 6, LCM = 90.
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