Euclidean Algorithm/Historical Note
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Historical Note on Euclidean Algorithm
This proof is Proposition $2$ of Book $\text {VII}$ of Euclid's The Elements.
According to David M. Burton, in his Elementary Number Theory, revised ed. of $1980$, there exists historical evidence that the Euclidean Algorithm actually predates Euclid.
Sources
- 1980: David M. Burton: Elementary Number Theory (revised ed.) ... (previous) ... (next): Chapter $2$: Divisibility Theory in the Integers: $2.3$ The Euclidean Algorithm