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    Find the largest number which can exactly divide 513, 783, and 1107.
    Question

    Find the largest number which can exactly divide 513, 783, and 1107.

    A.

    27

    B.

    25

    C.

    21

    D.

    23

    Correct option is A


    Ans. (a)
    Sol. We need to find the HCF (Highest Common Factor) of 513, 783, and 1107.
    Let’s find the HCF step-by-step:
    Step 1: Find HCF of 513 and 783
    · 783 ÷ 513 = 1 remainder 270
    · 513 ÷ 270 = 1 remainder 243
    · 270 ÷ 243 = 1 remainder 27
    · 243 ÷ 27 = 9 remainder 0
    So, HCF of 513 and 783 = 27
    Step 2: Find HCF of 27 and 1107
    · 1107 ÷ 27 = 41 remainder 0
    So, HCF of all three numbers = 27

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