Multiple choice

The greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case is

  1. 64

  2. 124

  3. 156

  4. 260
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A Correct answer
Explanation

To find the greatest number, subtract the remainder 12 from each number: 1344, 1856, and 2752. The greatest number is the HCF of these three values. The HCF of 1344, 1856, and 2752 is 64.

AI explanation

To find the greatest number that divides 1356, 1868 and 2764 leaving a remainder of 12, we use the greatest common divisor (GCD) method. Subtract 12 from each number to get 1344, 1856 and 2752. The required number is the HCF of these differences, so calculating the HCF of 1344, 1856 and 2752 yields 64. The greatest number is 64.

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