135, 171, 192 का महत्तम समापवर्तक (HCF) ज्ञात कीजिए।

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 31 Aug, 2024 Shift 1)
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  1. 3
  2. 10
  3. 9
  4. 8

Answer (Detailed Solution Below)

Option 1 : 3
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दिया गया है:

संख्याएँ: 135, 171, 192

प्रयुक्त सूत्र:

महत्तम समापवर्तक (HCF) अभाज्य गुणनखंडन या यूक्लिडियन एल्गोरिथम का उपयोग करके पाया जाता है।

गणनाएँ:

अभाज्य गुणनखंडन:

135 = 3 x 3 x 3 x 5

171 = 3 x 3 x 19

192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

उभयनिष्ठ गुणनखंड: 3

⇒ HCF = 3

∴ सही उत्तर 3 है।

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