Multiple choice

What is the largest number which divides 77, 147 and 252 to leave the same remainder in each case?

  1. 70

  2. 35

  3. 10

  4. 5
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B Correct answer
Explanation

To find the largest number that leaves the same remainder, calculate the differences between the numbers: 147-77=70, 252-147=105, and 252-77=175. The greatest common divisor (GCD) of 70, 105, and 175 is 35.

AI explanation

To find the largest number that leaves the same remainder, we use the method of finding the highest common factor of the differences between the numbers. The differences are 147 minus 77 equals 70, 252 minus 147 equals 105, and 252 minus 77 equals 175. The highest common factor of 70, 105, and 175 is 35. The required number is 35.

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