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Problem Set Worksheet Printable pdf

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(b) gcd (306, 657)

657 = q

(306) + r

1

1

657 = (2) (306) + 45

Repeat with 306 and 45

306 = q

(45) + r

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2

306 = (6) (45) + 36

Repeat with 45 and 36

45 = q

(36) + r

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3

45 = (1) (36) + 9

Repeat with 36 and 9.

36 = q

(9) + r

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4

36 = (4) (9) + 0

gcd (306, 657) = the last non-zero remainder.

gcd (306, 657) = 9

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