Multiple choice

The greatest number which can divide $1854, 1866$ and $2066$ leaving the same remainder $2$ in each case is:

  1. $4$
  2. $6$
  3. $12$

  4. none of the above
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A Correct answer
AI explanation

Subtract the common remainder of 2 from each number to get 1852, 1864 and 2064. Using the division method, the highest common factor of 1852 and 1864 is 4, and 4 also exactly divides 2064. Therefore, the greatest number that divides the original numbers leaving a remainder of 2 is 4.

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