Multiple choice

What is the greatest number which divides 392, 486 and 627 so as to leave the same remainder in each case? ऐसी सबसे बड़ी संख्या, जिसका 392, 486 और 627 में भाग देने पर प्रत्येक बार शेषफल समान रहता है, कौन सी है?

  1. 47

  2. 43

  3. 37

  4. 34

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When a number d leaves the same remainder when dividing a, b, and c, then d divides the differences: (a-b), (b-c), (a-c). Find GCD of these differences. Here: |392-486|=94, |486-627|=141, |392-627|=235. GCD(94,141,235)=47 since 94=2×47, 141=3×47, 235=5×47.