Multiple choice

What is the product of the digits of the greatest number that divides 690 and 875 leaving remainders 10 and 25 respectively?

  1. $0$
  2. $10$
  3. $14$
  4. $20$
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A Correct answer
Explanation

Number divides 690-10=680 and 875-25=850. GCD(680, 850) = 170. The greatest number is 170. Product of digits = 1 * 7 * 0 = 0.

AI explanation

Subtract the remainders to find the target numbers: 680 and 850. The greatest number dividing both is their HCF, which is 170. The product of the digits of 170 is 1 * 7 * 0 = 0. The answer is 0.