Extended greatest common divisor. Finds g = GCD(x(1), ..., x(end)) and v such that g == sum(v.*x).


Updated 24 Jan 2011

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[g v] = egcd(x) returns g = gcd(x(1), x(2), ..., x(end)) and v such that g == sum(v.*abs(x)).

Cite As

Steven Gregory (2023). egcd.m (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2007a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Inspired by: nextperm, modinv(x, N), logmod

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Version Published Release Notes

Just realized that egcd works on abs(x) and not x. If you need v, use v = sign(x)*v. Then g == sum(v.*x) will be true.