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Polynomial greatest common divisor

In algebra, the greatest common divisor (frequently abbreviated GCD or gcd) of two polynomials is a polynomial, of the highest possible degree, which is a factor of both the two original polynomials. This concept is analogous to the greatest common divisor of two integers.

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Properties

GCD by hand computation

Univariate polynomials with coefficients in a field

GCD over a ring and its field of fractions

Pseudo-remainder sequences

Modular GCD algorithm

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Polynomial greatest common divisor

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Avg. degree1.97
Density0.027397
Components1

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gcd polynomials algorithm displaystyle polynomial coefficients two euclidean field integers one may common division degree univariate ring sequence pseudo-remainder remainder

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