The H.C.F of \(\frac{1}{2},\frac{2}{3}, \frac{3}{4}, \frac{4}{5}\) is

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ITBP Constable (Animal Transport) 16 Feb 2020 Official Paper
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  1. 1
  2. 12
  3. \(\frac{4}{5}\)
  4. \(\frac{1}{60}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{1}{60}\)
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Detailed Solution

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Given:

The H.C.F of \(\dfrac{1}{2}\), \(\dfrac{2}{3}\), \(\dfrac{3}{4}\), \(\dfrac{4}{5}\) is

Formula used:

H.C.F of fractions = \(\dfrac{H.C.F\ of\ numerators}{L.C.M\ of\ denominators}\)

Calculation:

Numerators: 1, 2, 3, 4

Denominators: 2, 3, 4, 5

H.C.F of numerators = 1

L.C.M of denominators = 60

⇒ H.C.F of fractions = \(\dfrac{1}{60}\)

∴ The correct answer is option (4).

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