Find the GCD of 24 and 32 using Extended Euclidean algorithm.

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Bipin Tiwari · Accepted Answer

GCD of 24 and 32 by Euclidean Algorithm As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y) where X > Y and mod is the modulo operator. Here X = 32 and Y = 24 GCF(32, 24) = GCF(24, 32 mod 24) = GCF(24, 8) GCF(24, 8) = GCF(8, 24 mod 8) = GCF(8, 0) GCF(8, 0) = 8 (∵ GCF(X, 0) = |X|, where X ≠ 0) Therefore, the value of GCF of 24 and 32 is 8.

Find the GCD of 24 and 32 using Extended Euclidean algorithm.

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Find the GCD of 24 and 32 using Extended Euclidean algorithm.

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