\(\frac{1}{2},\frac{2}{3}, \frac{3}{4}, \frac{4}{5}\) का महत्तम समापवर्तक है:

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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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दिया गया है:

\(\dfrac{1}{2}\), \(\dfrac{2}{3}\), \(\dfrac{3}{4}\), \(\dfrac{4}{5}\) का महत्तम समापवर्तक (H.C.F) है

प्रयुक्त सूत्र:

भिन्नों का महत्तम समापवर्तक (H.C.F) = \(\dfrac{H.C.F\ of\ numerators}{L.C.M\ of\ denominators}\)

गणना:

अंश: 1, 2, 3, 4

हर: 2, 3, 4, 5

अंशों का महत्तम समापवर्तक (H.C.F) = 1

हरों का लघुत्तम समापवर्त्य (L.C.M) = 60

⇒ भिन्नों का महत्तम समापवर्तक (H.C.F) = \(\dfrac{1}{60}\)

∴ सही उत्तर विकल्प (4) है।

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