Problem Set Worksheet Page 3

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(c) gcd (272, 1479)
1479 = q
(272) + r
1
1
1479 = (5) (272) + 119
Repeat with 272 and 119.
272 = q
(119) + r
2
1
272 = (2) (119) + 34
Repeat with 119 and 34.
119 = q
(34) + r
3
3
119 = (3) (34) + 17
Repeat with 34 and 17.
34 = q
(17) + r
4
4
34 = (2) (17) + 0
gcd (272, 1479) = last non-zero remainder
gcd (272, 1479) = 17
3

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