Question

find the largest number which divides 245 and 1029 leaving remainder 5 in each case​

Answer 1

ANSWER :

See in the attachment

Answer 2

Answer:

so lets subtract 5 from 245 and 1029 at beginning itself.

1029 - 5 = 1024.

245 - 5 = 240

now by euclid lemma division,

1024 = 240 × 4 + 64

240 = 64 × 3 + 48

64 = 48 × 1 + 16

48 = 16 × 3 + 0

hence the required number is 16.

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