Question

find the greatest number which divides 285 and 1249 leaving remainder 5 and 7 respectively

Answer 1

$\huge \underline \bold \color{teal} \mathfrak{Answer}$

❇️ To find the greatest number which divides 285 and 1249 leaving remainder 5 and 7 respectively, subtract the remainder from the numbers and find their HCF.

❇️ Subtracting 5 from 285, we get 280 and subtracting 7 from 1249, we get 1242.

❇️ Factors of 280 = 2×2×2×5×7

Factors of 1242 = 2×3×3×3×23.

HCF = 2

❇️Therefore, 2 is the required number.