The HCF of \(\frac{1}{2},\frac{3}{4},\frac{5}{6}\) and \(\frac{7}{8}\) is:

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 3)
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  1. \(\frac{{105}}{2}\)
  2. \(\frac{1}{{24}}\)
  3. \(\frac{7}{{24}}\)
  4. \(\frac{1}{{48}}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{1}{{24}}\)
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Detailed Solution

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Given:

Four fraction \(\frac{1}{2},\frac{3}{4},\frac{5}{6},\frac{7}{8}\)

Formula used:

H.C.F of fraction \(=\frac{\ H.C.F \ of \ numerator}{\ L.C.M \ of \ denominators}\)

Calculation:

HCF of the fractions

 = \(\frac{ \ HCF \ of 1,3,5,7}{\ LCM \ of 2,4,6,8}\)

=\(\frac{1}{24}\)

Hence the correct answer is option(2).

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