Question
Download Solution PDF135, 171, 192 का महत्तम समापवर्तक (HCF) ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया 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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