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What is the total running time of the binary GCD algorithm?

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What is the total running time of the binary GCD algorithm?

(a) O(N)

(b) O(N^2)

(c) O(log N)

(d) O(N log N)

The question was asked during an online exam.

Question is taken from Number Theory topic in chapter Number Theory of Data Structures & Algorithms II

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Right choice is (b) O(N^2)

For explanation: Binary GCD algorithm is a sub division of Euclidean algorithm with more faster operations. Its running time is given by O(N^2).

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