Multiple choice

The greatest number, which divides $989$ and $1327$ leaving remainders $5$ and $7$ respectively, is

  1. $8$
  2. $16$
  3. $24$
  4. $32$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The number must divide (989 - 5) = 984 and (1327 - 7) = 1320. The HCF of 984 and 1320 is 24.

AI explanation

To find the required number, subtract the remainders from the given numbers: 989 - 5 = 984 and 1327 - 7 = 1320. The greatest number that divides both 984 and 1320 exactly is their highest common factor. The HCF of 984 and 1320 is 24.