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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 ├Ч 3┬▓ 30 = 2 ├Ч 3 ├Ч 5 HCF = product of common prime factors with smallest powers = 2 ├Ч 3 = 6 LCM = product of all prime factors with highest powers = 2 ├Ч 3┬▓ ├Ч 5 = 2 ├Ч 9 ├Ч 5 = 90 Answer: HCF = 6, LCM = 90.

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