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    The HCF and the LCM of two numbers are 6 and 264, respectively. If one of the numbers is 66, find the other one.
    Question

    The HCF and the LCM of two numbers are 6 and 264, respectively. If one of the numbers is 66, find the other one.

    A.

    105

    B.

    115

    C.

    35

    D.

    24

    Correct option is D

    Given:

    HCF = 6

    LCM = 264

    One number = 66

    Find the other number

    Formula Used:

    Product of two numbers = HCF × LCM

    Solution:

    66×Number2=6×264 66×Number2=1584 Number2=158466=2466 \times \text{Number}_2 = 6 \times 264 \\ \ \\66 \times \text{Number}_2 = 1584 \\ \ \\\text{Number}_2 = \frac{1584}{66} = 24 ​​

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