| 21. | In order to find the greatest common divisor, the Euclidean algorithm or prime factorization may be used.
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| 22. | (where " gcd " is the greatest common divisor ) provided that this set is not empty.
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| 23. | If the input polynomials are coprime, this normalization provides also a greatest common divisor equal to 1.
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| 24. | Where,,, are non-negative integers with greatest common divisor 1 such that is odd.
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| 25. | In the case of univariate polynomials, there is a strong relationship between greatest common divisors and resultants.
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| 26. | The greatest common divisor is the last non zero entry, } } in the column " remainder ".
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| 27. | LADSPA is unusual in that it attempts to provide only the " Greatest Common Divisor " of other standards.
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| 28. | As one is working with polynomials with integer coefficients, this greatest common divisor is defined up its sign.
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| 29. | If is the greatest common divisor of and then the linear congruence has solutions if and only if divides.
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| 30. | For example, the computation of polynomial greatest common divisors is systematically used for the simplification of expressions involving fractions.
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