Question

The greatest number which divides 285 and 1249 leaving remainder 9 and 7 respectively is

Answer 1

Answer:

138

Step-by-step explanation:

subtract 9 from 285 and 7 from 1249

285 - 9 = 276

1249 - 7 = 1242

HCF of 276 and 1242

276 = 2 × 2 × 3 × 23

1,242 = 2 × 3 × 3 × 3 × 23

HCF is = 2 × 3 × 23 = 138

138 divides 285 and 1249 leaving remainder 9 and 7 respectively

285 = (138×2) + 9

1249 = (138×9) + 7

hope you get your answer