Multiple choice

The largest number that divides $64$ and $72$ and leave the remainders $12$ and $7$ respectively, is.

  1. $17$
  2. $13$
  3. $14$
  4. $18$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The number must divide 64-12=52 and 72-7=65. The largest such number is the GCD of 52 and 65. 52 = 13 * 4, 65 = 13 * 5. GCD = 13.

AI explanation

Using the division algorithm, the required number must divide (64 minus 12) and (72 minus 7) completely. Thus, we need the highest common factor of 52 and 65, which is 13.

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