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    The HCF of 450, 1500 and 1650 is :
    Question

    The HCF of 450, 1500 and 1650 is :

    A.

    50

    B.

    200

    C.

    100

    D.

    150

    Correct option is D

    Solution:

    Prime factorization of 450:  2 × 32×52.3^2 × 5^2.​​
    Prime factorization of 1500:  22×3×53.2^2 × 3 × 5^3.​​
    Prime factorization of 1650: 2×3×52×11.2 × 3 × 5^2 × 11.​​
    HCF of 450, 1500, 1650 =  2×3×52=1502\times 3 \times 5^2 = 150​​

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