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Find the H.C.F. and L.C.M. of $1530$ and $2040$.
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Solution:
$1530 = 2 \times 3^2 \times 5 \times 17$;
$2040 = 2^3 \times 3 \times 5 \times 17$ (
frac{1}{2} +
frac{1}{2} Mark)
$\text{HCF}(1530, 2040) = 2 \times 3 \times 5 \times 17 = 510$ (
frac{1}{2} Mark)
$\text{LCM } (1530, 2040) = 2^3 \times 3^2 \times 5 \times 17 = 6120$ (
frac{1}{2} Mark)
$1530 = 2 \times 3^2 \times 5 \times 17$;
$2040 = 2^3 \times 3 \times 5 \times 17$ (
frac{1}{2} +
frac{1}{2} Mark)
$\text{HCF}(1530, 2040) = 2 \times 3 \times 5 \times 17 = 510$ (
frac{1}{2} Mark)
$\text{LCM } (1530, 2040) = 2^3 \times 3^2 \times 5 \times 17 = 6120$ (
frac{1}{2} Mark)