References

Journal of Algebra, Number Theory: Advances and Applications

A NOTE ON CERTAIN RELATIONS BETWEEN THE FIBONACCI SEQUENCE AND THE EUCLIDEAN ALGORITHM

[1] R. L. Duncan, Note on the Euclidean algorithm, The Fibonacci Quarterly 4 (1966), 367-68.

[2] R. Honsberger, Mathematical Gems II, Mathematical Assn. of Amer. (1976)