Multiple choice

Find the largest number which divides 55, 127 and 175 so as to leave the same remainder in each case

  1. $24$
  2. $20$
  3. $21$
  4. $25$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To find the largest number dividing 55, 127, and 175 with the same remainder, find the GCD of the differences: (127-55)=72, (175-127)=48, (175-55)=120. GCD(72, 48, 120) = 24.

AI explanation

To find the largest number that leaves the same remainder, we calculate the differences between the pairs of given numbers. The differences are 127 minus 55 equals 72, 175 minus 127 equals 48, and 175 minus 55 equals 120. The required number is the highest common factor of these differences, which is 24.

Keep practicing — related questions