general math MCQ #1634

Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?

general math MCQ #1634

  1. Question 1

    Q1. Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?

    • A) 53
    • B) 112
    • C) 108
    • D) 106

    Answer: 106

    Explanation: The required number is the GCD of the differences: 909−697=212, 1227−909=318. GCD(212, 318) = 106.