GCD

GCD

greatest common divisor

Syntax


GCD(F_1:INT,...,F_n:INT):INT
GCD(L:LIST of INT):INT

GCD(F_1:POLY,...,F_n:POLY):POLY
GCD (L:LIST of POLY):POLY

Description

This function returns the greatest common divisor of F_1,...,F_n or of the elements in the list L. For the calculation of the GCDs and LCMs of polynomials, the coefficient ring must be a field.

Example

  Use R ::= QQ[x,y];
  F := x^2-y^2;
  G := (x+y)^3;
  GCD(F, G);
x + y
-------------------------------
  GCD(3*4,3*8,6*16);
12
-------------------------------
  GCD([3*4,3*8,6*16]);
12
-------------------------------

See Also