MathNumber theory

Euclid's algorithm

Properties of Euclid's algorithm

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Euclid's algorithm is less effective that finding

\gcd

with factoring into primes

On each step of Euclid's algorithm, one of the arguments is replaced by its remainder modulo another one

Euclid's algorithm gives us representation of

\gcd(a, b)

as a linear combination of

a

and

b

Euclid's algorithm was invented by Donald Knuth

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