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Fungrim entry: 56acd6

gcd⁡ ⁣(a,b)≤max⁡ ⁣(∣a∣,∣b∣)\gcd\!\left(a, b\right) \le \max\!\left(\left|a\right|, \left|b\right|\right)
Assumptions:a∈Z and⁡ b∈Za \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, b \in \mathbb{Z}
TeX:
\gcd\!\left(a, b\right) \le \max\!\left(\left|a\right|, \left|b\right|\right)

a \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, b \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
GCDgcd⁡ ⁣(n,k)\gcd\!\left(n, k\right) Greatest common divisor
Abs∣z∣\left|z\right| Absolute value
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("56acd6"),
    Formula(LessEqual(GCD(a, b), Max(Abs(a), Abs(b)))),
    Variables(a, b),
    Assumptions(And(Element(a, ZZ), Element(b, ZZ))))

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2019-06-18 07:49:59.356594 UTC