Singular

5.1.45 gcd

Syntax:

gcd ( int_expression, int_expression )
gcd ( bigint_expression, bigint_expression )
gcd ( number_expression, number_expression )
gcd ( poly_expression, poly_expression )

Type:

the same as the type of the arguments

Purpose:

computes the greatest common divisor.

Note:

Not implemented for the coefficient fields real and finite fields of type (p^n,a).
The gcd of two numbers is their gcd as integer numbers or polynomials, otherwise it is not defined.

Example:

gcd(2,3); ==> 1 gcd(bigint(2)^20,bigint(3)^23); // also applicable for bigints ==> 1 typeof(_); ==> bigint ring r=0,(x,y,z),lp; gcd(3x2*(x+y),9x*(y2-x2)); ==> x2+xy gcd(number(6472674604870),number(878646537247372)); ==> 2