Question

Find the largest number which divides 209 and 260 leaving
remainder 5 in each case
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Answer 1

Answer: The HCF of 209-5=204 and 260-5=255 is 17.

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Answer 2

Answer:

New numbers = (209-5) and (260-5)

= 204 and 255

204 = 2 × 2 × 3 × 17

255 = 3 × 5 × 17

Largest number which divides both of them will be their HCF I.e. 3 × 17

HCF = 3 × 17 = 51