\(\frac{1}{2},\frac{3}{4},\frac{5}{6}\) మరియు \(\frac{7}{8}\) యొక్క గ.సా.భా కనుగొనండి?

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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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ఇచ్చినది:

నాలుగు భిన్నం \(\frac{1}{2},\frac{3}{4},\frac{5}{6},\frac{7}{8}\)

ఉపయోగించిన సూత్రం:

భిన్నం యొక్క గ.సా.భా \(=\frac{\ HCF \ of \ numerator}{\ LCM \ of \ denominators}\)

గణన:

భిన్నాల గ.సా.భా

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

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

కాబట్టి సరైన సమాధానం ఎంపిక(2) .

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