Question
Find the HCF and LCM of 42 and 70.
Solution
Prime factorization: 42 = 2 × 3 × 7 70 = 2 × 5 × 7 HCF: product of common prime factors with smallest powers Common primes: 2, 7 HCF = 2 × 7 = 14 LCM: product of all prime factors with highest powers Primes: 2, 3, 5, 7 LCM = 2 × 3 × 5 × 7 = 210 Answer: HCF = 14; LCM = 210.
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