LCM and HCF · UPSC CDS/OTA · Question 3 of 30

LCM and HCF – Question 3

Step-by-step solution. LCM and HCF for UPSC CDS/OTA.

Topic
LCM and HCF
Subject
Mathematics
Difficulty
Difficult
Solve Time
45–60 sec

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Q · LCM and HCFDifficult · 45s

Find the greatest number that will divide 1305, 4665, and 6905 exactly, leaving the same remainder in each case.

TopicLCM and HCF
Question Typemultiple choice
DifficultyDifficult
Marking+1 / −0.33
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained — no skipped algebra.

Differences: 3360, 2240 ⇒ HCF = 112; HCF with remainder gives 115.

Final Answer: Option A — 115
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