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GaussInt

  

GIgcd

  

greatest common divisor of Gaussian integers

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

GIgcd(x[1], x[2], ..., x[n])

Parameters

x[1], x[2], ..., x[n]

-

Gaussian integers

Description

• 

The GIgcd function computes and returns the first quadrant associate of a gcd of the Gaussian integers x1=a1+Ib1, ..., xn=an+Ibn where the ai's and the bi's are integers.  The first quadrant associate of a Gaussian integer is defined as I5jx where x is a Gaussian integer and j (1..4) is the quadrant containing x (see GInormal).

Examples

withGaussInt:

GIgcd24,12

12

(1)

GIgcd345+515I,1574+368I

41+117I

(2)

See Also

GaussInt[GIgcdex]

GaussInt[GIlcm]

GaussInt[GInormal]

 


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