#17671: Implement gcd for fraction fields
--------------------------------+-------------------------------------
   Reporter:  vdelecroix        |            Owner:
       Type:  defect            |           Status:  new
   Priority:  major             |        Milestone:  sage-6.5
  Component:  basic arithmetic  |         Keywords:
  Merged in:                    |          Authors:  Vincent Delecroix
  Reviewers:                    |  Report Upstream:  N/A
Work issues:                    |           Branch:
     Commit:                    |     Dependencies:
   Stopgaps:                    |
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 As reported on [https://groups.google.com/forum/#!topic/sage-
 support/AYDqdxy5fTw sage-support], gcd and xgcd disagree on fraction
 fields
 {{{
 sage: gcd(6/1,2/1)
 2
 sage: xgcd(6/1,2/1)
 (1, 1/6, 0)
 }}}

 We implement a `xgcd` for the `QuotientFields` category in order to fix
 that (there was a `gcd` here without a `xgcd`).

--
Ticket URL: <http://trac.sagemath.org/ticket/17671>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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