/usr/share/calc/help/gcdrem is in apcalc-common 2.12.5.0-1build1.
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gcdrem - result of removing factors of integer common to a specified integer
SYNOPSIS
gcdrem(x, y)
TYPES
x integer
y integer
return non-negative integer
DESCRIPTION
If x and y are not zero, gcdrem(x, y) returns the greatest integer
divisor d of x relatively prime to y, i.e. for which gcd(d,y) = 1.
In particular, gcdrem(x,y) = abs(x) if x and y are relatively
prime.
For all x, gcdrem(x, 0) = 1.
For all nonzero y, gcdrem(0, y) = 0.
PROPERTIES
gcdrem(x,y) = gcd(abs(x), abs(y)).
If x is not zero, gcdrem(x,y) = gcdrem(x, gcd(x,y)) = gcdrem(x, y % x).
For fixed nonzero x, gcdrem(x,y) is periodic with period abs(x).
gcdrem(x,y) = 1 if and only if every prime divisor of x
is a divisor of y.
If x is not zero, gcdrem(x,y) == abs(x) if and only if gcd(x,y) = 1.
If y is not zero and p_1, p_2, ..., p_k are the prime divisors of y,
gcdrem(x,y) = frem(...(frem(frem(x,p_1),p_2)...,p_k)
EXAMPLE
; print gcdrem(6,15), gcdrem(15,6), gcdrem(72,6), gcdrem(6,72)
2 5 1 1
; print gcdrem(630,6), gcdrem(6,630)
35 1
LIMITS
none
LINK LIBRARY
NUMBER *qgcdrem(NUMBER *x, NUMBER *y)
SEE ALSO
gcd, frem, isrel
## Copyright (C) 1999 Landon Curt Noll
##
## Calc is open software; you can redistribute it and/or modify it under
## the terms of the version 2.1 of the GNU Lesser General Public License
## as published by the Free Software Foundation.
##
## Calc is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
## Public License for more details.
##
## A copy of version 2.1 of the GNU Lesser General Public License is
## distributed with calc under the filename COPYING-LGPL. You should have
## received a copy with calc; if not, write to Free Software Foundation, Inc.
## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
##
## @(#) $Revision: 30.1 $
## @(#) $Id: gcdrem,v 30.1 2007/03/16 11:10:42 chongo Exp $
## @(#) $Source: /usr/local/src/bin/calc/help/RCS/gcdrem,v $
##
## Under source code control: 1995/12/18 12:03:02
## File existed as early as: 1995
##
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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