Multiple choice

The greatest number, which when divided by 989 and 1327 leave remainders 5 and 7 respectively is?

  1. 4

  2. 8

  3. 16

  4. 24

  5. 32
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The number must divide (989 - 5) = 984 and (1327 - 7) = 1320. The greatest number is the GCD of 984 and 1320. 984 = 24 * 41, 1320 = 24 * 55. GCD = 24.

AI explanation

Subtract the respective remainders from the numbers to get 989 minus 5 equals 984, and 1327 minus 7 equals 1320. The greatest number that divides these exactly is their highest common factor. The highest common factor of 984 and 1320 is 24. The result is 24.

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