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    Find the HCF of 0.24 and 0.36 .
    Question

    Find the HCF of 0.24 and 0.36 .

    A.

    0.72

    B.

    0.12

    C.

    0.32

    D.

    0.52

    Correct option is B

    Given:

    The numbers are 0.24 and 0.36.

    Solution:

    0.24 = 24100\frac{24}{100}​​

    0.36 = 36100 \frac{36}{100}​​

    Now, find the HCF of 24 and 36:

    Prime factorization of 24: 24 = 23×32^3 \times 3​​

    Prime factorization of 36: 36 = 22×322^2 \times 3^2​​

    The common factors are 22×3 2^2 \times 3​, so the HCF of 24 and 36 is 12.

    Since we multiplied both the original numbers by 100,

    the HCF of 0.24 and 0.36 is:

    12100=0.12\frac{12}{100} = 0.12​​

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