Question:

Need help using euclidean algorithm?

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i have 2 problems that involves using the algorithm.

1)GCD of 1596 and 11220

2)GCD of 1064 and 9338 AND 3003

Please show ALL you work.

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  1. 11220 = 1596(7) + 48

    1596 = 48(33) + 12

    48 = 12(4) + 0.  Therefore, gcd(11220,1596) = 12.

    9338 = 1064(8) + 826

    1064 = 826(1) + 238

    826 = 238(3) + 112

    238 = 112(2) + 14

    112 = 14(8) + 0.  Therefore, gcd(9338,1064) = 14.

    Follow those examples for gcd(3003,1064).

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