#17294: Add gcd to number field order elements
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       Reporter:  jdemeyer       |        Owner:
           Type:  enhancement    |       Status:  new
       Priority:  major          |    Milestone:  sage-6.4
      Component:  number fields  |   Resolution:
       Keywords:                 |    Merged in:
        Authors:                 |    Reviewers:
Report Upstream:  N/A            |  Work issues:
         Branch:                 |       Commit:
   Dependencies:                 |     Stopgaps:
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Description changed by jdemeyer:

Old description:

> Implement `gcd()` for number fields analogous to `factor()`.
>
> The `gcd()` of two number field elements doesn't always make sense, but
> if it exists (in particular, if the class number is 1), then `a.gcd(b)`
> should work.

New description:

 Implement `gcd()` for number fields analogous to `factor()`.

 The `gcd()` of two algebraic integers doesn't always make sense, but if it
 exists (in particular, if the class number is 1), then `a.gcd(b)` should
 work.

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Ticket URL: <http://trac.sagemath.org/ticket/17294#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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