Multiple choice

What is the greatest number that divides the numbers 38, 45 and 52 and leaves remainders 2, 3 and 4, respectively?

  1. 6

  2. 8

  3. 10

  4. 4
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A Correct answer
Explanation

We need a number x such that x divides (38-2)=36, (45-3)=42, and (52-4)=48. The greatest common divisor of 36, 42, and 48 is 6.

AI explanation

Subtract the respective remainders from the numbers to get 36, 42, and 48. The required number is the highest common factor of these three values. Since the factors of 36 are 1, 2, 3, and 6, the greatest number that divides 42 and 48 perfectly is 6.

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