Multiple choice

The greatest number which when divides $258$ and $323$ leaving remainders $2$ and $3$ respectively is

  1. $32$
  2. $64$
  3. $16$
  4. $128$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

We need the HCF of (258 - 2) and (323 - 3), which is the HCF of 256 and 320. 256 = 64 * 4 and 320 = 64 * 5. The HCF is 64.

AI explanation

Subtract the remainders from the respective numbers to find the numbers that must be perfectly divisible by the required greatest number, giving 256 and 320. The required number is the highest common factor of 256 and 320. The HCF of 256 and 320 is 64.

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