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    The highest common factor of 363, 495, and 561 is N. The digit sum of N is:
    Question

    The highest common factor of 363, 495, and 561 is N. The digit sum of N is:

    A.

    6

    B.

    7

    C.

    5

    D.

    4

    Correct option is A

    Given:

    The numbers are 363, 495, and 561.

    Solution:

    Prime factorization of 363:

    363 = 3 × 121 = 3 × 11 × 11

    Prime factorization of 495:

    495 = 5 × 99 = 5 × 3 × 33 = 5 × 3 × 3 × 11

    Prime factorization of 561:

    561 = 3 × 187 = 3 × 11 × 17

    The common prime factors are 3 and 11.

    HCF = 3 × 11 = 33

    Digit sum of 33 = 3 + 3 = 6
    The digit sum of N is 6.

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