I was able to find only one way of doing that: Euclidean algorithm for polynomials. But is there any "simpler" way to find their GCD (if it is important, the answer in both cases is 1 by my calculations)? Because for me it took a lot of time to find quotients. Maybe some method of finding it fast? Thanks!
2026-04-07 19:35:32.1775590532
Find GCD of two polynomials: $x^5 + 4x^4 + 3x^3 + x^2 + 4$ and $x^4 + 4x^3 + 4x^2 + 4$ in field $\mathbb{F}_3$ and in field $\mathbb{Q}$
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