Question

Find out the largest number that can divide 299 and 257 leaving a remainder 5 in both cases

Answer 1

299-5 and 257-5

hcf of 294 and 252

294= 2 × 3 × 7 × 7
252=2 × 2 × 3 × 3 × 7

common factors= 7x2x3=42 therefore the hcf of these two numbers = 42
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