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    Which of the following can be the HCF and LCM respectively of any two numbers?
    Question

    Which of the following can be the HCF and LCM respectively of any two numbers?

    A.

    21, 372

    B.

    38, 342

    C.

    488, 62

    D.

    124, 4

    Correct option is B

    HCF (Highest Common Factor) is the greatest number that divides both numbers.
    LCM (Least Common Multiple) is the smallest number that is divisible by both numbers.
    Hence, the LCM must always be a multiple of the HCF.
    Applying the reason to the options
    A (21, 372): 372 is not divisible by 21 
    B (38, 342): 342 is divisible by 38 (342 = 38 × 9) 
    C (488, 62): HCF cannot be greater than LCM 
    D (124, 4): HCF cannot be greater than LCM 
    The correct answer is (b).

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