question archive Showing all your work, use the Euclidean Algorithm to find the gcd (144, 233)

Showing all your work, use the Euclidean Algorithm to find the gcd (144, 233)

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Showing all your work, use the Euclidean Algorithm to find the gcd (144, 233)

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Answer:

therefore gCD = 1

233= 144x1 + 89

144= 89x1 +55

89=55 x 1 + 34

55= 34x1+21

34= 21x1 + 13

21= 1 x 13 + 8

13= 8x1 +5

8= 5x1 +3

5= 1x3 =2

3= 1x2 + 1

2= 1x2 +0

therefore gCD = 1

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