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      Question

      Find the HCF and LCM of 18 and 30.

      A HCF = 10, LCM = 90 Correct Answer Incorrect Answer
      B HCF = 6, LCM = 90 Correct Answer Incorrect Answer
      C HCF = 6, LCM = 65 Correct Answer Incorrect Answer
      D HCF = 16, LCM = 190 Correct Answer Incorrect Answer

      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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