Multiple choice

Greatest number which divides 926 and 2313, leaving 2 and 3 remainders respectively is

  1. 308

  2. 462

  3. 152

  4. 154
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To find the greatest number dividing 926 and 2313 leaving remainders 2 and 3 respectively, first subtract the remainders from the numbers. This gives us 924 (926-2) and 2310 (2313-3). Now find HCF of 924 and 2310. 924 = 2² × 3 × 7 × 11 = 462 × 2. 2310 = 2 × 3 × 5 × 7 × 11 = 462 × 5. HCF is 462. Verify: 926 ÷ 462 = 2 remainder 2, 2313 ÷ 462 = 5 remainder 3.

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