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The HCF and LCM of two numbers is 14 and 588 respectively. If the first number is 84, find the second one?

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The HCF and LCM of two numbers is 14 and 588 respectively. If the first number is 84, find the second one?
posted Apr 27 by anonymous

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1 Answer

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Let the 2 numbers be a & b.
a = 84 = 2^2 × 3 × 7
b = ? = 2 × 7 × y { because LCM = 14 = 2 × 7 }
HCF = 588 = 2^2 × 7 × 3 × y
y = 588/(4 × 7 × 3) = 7
Therefore b = 2 × 7^2 = 98

answer Apr 27 by Tejas Naik



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