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    What is the HCF of 23,34\frac{2}{3},\frac{3}{4}32​,43​, and 56\frac{5}{6}65​​?
    Question

    What is the HCF of 23,34\frac{2}{3},\frac{3}{4}, and 56\frac{5}{6}​?

    A.

    172\frac{1}{72}​​

    B.

    524\frac{5}{24}​​

    C.

    112\frac{1}{12}​​

    D.

    512\frac{5}{12}​​

    Correct option is C

    Given:

    Fractions: 23,34,56 \frac{2}{3}, \frac{3}{4}, \frac{5}{6}​​

    Formula Used:

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

    Solution:
    Numerators: 2, 3, 5
    HCF(2, 3, 5) = 1

    Denominators: 3, 4, 6
    Prime factors:

    3 = 3

    4 = 22 2^2​​

    6 = 2×3 \times 3​​
    LCM(3, 4, 6) =22×3=12= 2^2 \times 3 = 12​​

    HCF=112\text{HCF} = \frac{1}{12}

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