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    The greatest number, which divides 1477 and 671 to leave 0 and 6 respectively as remainders, is:
    Question

    The greatest number, which divides 1477 and 671 to leave 0 and 6 respectively as remainders, is:

    A.

    17

    B.

    16

    C.

    20

    D.

    7

    Correct option is D

    Given:

    The greatest number, which divides 1477 and 671 to leave 0 and 6   

    Solution: 

    (1477 - 0) = 1477 is completely divide by that  greatest number   

    (671 - 6) = 665 is completely divide by that greatest number 

    Factorization:

    1477 = 7 ×211\times 211​​

    665 = 7 ×95\times 95​​
    The greatest number, which divides 1477 and 671 to leave 0 and 6 respectively as remainders, is: = HCF of 1477 and 665 = 7 

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