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    Find the HCF of 1239\frac{12}{39}3912​​ and 513\frac{5}{13}135​​.
    Question

    Find the HCF of 1239\frac{12}{39}​ and 513\frac{5}{13}​.

    A.

    6013\frac{60}{13}​​

    B.

    6039\frac{60}{39}​​

    C.

    139\frac{1}{39}​​

    D.

    1213\frac{12}{13}​​

    Correct option is C

    Given:

    HCF of 1239\frac{12}{39}​ and 513\frac{5}{13}​​

    Concept Used:

    HCF =HCF of numeratorsLCM of denominators \frac{\text{HCF of numerators}}{\text{LCM of denominators}}

    Solution:

    HCF =HCF(12,5)LCM(39,13) \frac{\text{HCF}(12, 5)}{\text{LCM}(39, 13)}

    HCF(12, 5) = 1

    LCM(39, 13) = 39 (since 13 divides 39)

    HCF =139= \frac{1}{39}

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