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    ​The greatest number that divides 155 and 307 leaving remainders 5 and 7, respectively, is: ​
    Question

    The greatest number that divides 155 and 307 leaving remainders 5 and 7, respectively, is:

    A.

    25

    B.

    30

    C.

    150

    D.

    15

    Correct option is C

    Given:
    Numbers: 155 and 307
    Remainders: 5 and 7
    Solution:
    ​Subtraction:
    155 - 5 = 150
    307 - 7 = 300

    Greatest Common Divisor (GCD):

    GCD(150, 300) = 150
    The greatest number that divides 155 and 307 leaving remainders 5 and 7, respectively, is 150.
    Option (c) is right answer.

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