Question

Find the greatest number which divides 282 and 1249 leaving remainder 9 and 7 respectively

Answer 1

subtracting the remainder with the corresponding number we get,

282-9=273

1249-7=1242

H. C. F of 273 and 1242=3

therefore, 3 is the greatest no. which divide 282 and 1249 leaving remainder of 9 and 7 respectively