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Fungrim entry: c40be0

gcd ⁣(a,0)=a\gcd\!\left(a, 0\right) = \left|a\right|
Assumptions:aZa \in \mathbb{Z}
TeX:
\gcd\!\left(a, 0\right) = \left|a\right|

a \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
GCDgcd ⁣(a,b)\gcd\!\left(a, b\right) Greatest common divisor
Absz\left|z\right| Absolute value
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("c40be0"),
    Formula(Equal(GCD(a, 0), Abs(a))),
    Variables(a),
    Assumptions(Element(a, ZZ)))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC