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    Find the HCF of 16.5, 0.45 and 15.
    Question

    Find the HCF of 16.5, 0.45 and 15.

    A.

    45

    B.

    15

    C.

    0.15

    D.

    0.45

    Correct option is C

    Given:
    We need to find the HCF (Highest Common Factor) of the numbers:
    16.5
    0.45
    15
    Solution:
    Multiply each number by 100 to eliminate decimals:
    16.5×100=1650 0.45×100=45 15×100=150016.5 \times 100 = 1650 \\ \ \\0.45 \times 100 = 45 \\ \ \\15 \times 100 = 1500 ​​
    Factorize each number:
    1650 =2×3×52×11 2 \times 3 \times 5^2 \times 11 ​​
    45=32×55 = 3^2 \times 5​​
    1500=22×3×531500 = 2^2 \times 3 \times 5^3 ​​
    The common primes in all three numbers are 3 and 5.
    Take the lowest power of each common prime:
    31 3^1 ​ (from 1650 or 1500, since 45 has 32 3^2 ​​
    515^1 ​ (from 45, since others have higher powers)
    HCF = 3×5=15 \times 5 = 15 ​​
    Since we multiplied by 100 earlier, now divide the HCF by 100:
    HCF = 15100=0.15\frac{15}{100} = 0.15 ​​



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