(4315 − 1) और (425 − 1) का महत्तम समापवर्तक (HCF) ज्ञात कीजिए।

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SSC MTS Previous Year Paper (Held on: 26 July 2022 Shift 1)
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  1. 1
  2. (425 − 1)
  3. 1024
  4. 1023

Answer (Detailed Solution Below)

Option 4 : 1023
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
90 Qs. 150 Marks 90 Mins

Detailed Solution

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दिया गया है:

(4315 − 1) और (425 − 1)

प्रयुक्त अवधारणा:

(am − 1) और (an − 1) का महत्तम समापवर्तक (aम.स.प. (m,n) − 1) है।

गणनाः

म.स.प (315, 25) = 5

अवधारणा के अनुसार,

म.स.प {(4315 − 1), (425 − 1)} 

= (4म.स.प. (315, 25) − 1)

= (45 − 1)

= 1024 − 1

= 1023

अतः, अभीष्ट मान 1023 है।

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