Question

The greatest number which divides 245 and 1305 and leaves the remainder of 9 and 7 respectively is

Answer 1

Thus so

It will be the HCF of

245 - 9 = 236

1305 - 7 = 1298

➡ thus by EUCLIDS DIVISION ALGORITHM

➡ a = bq + r
.
. 1298 = 236 ❌ 5 + 118

. 236 = 118 ❌ 1 + 18

. 118 = 18 ❌ 6 + 10
.
. 18 = 10 ❌ 1 + 8

. 10 = 8 ❌ 1 + 2

. 8 = 2 ❌ 4 + 0

➡ THUS THE HCF IS 2 .

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