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Fungrim entry: 6572c5

gcd ⁣(a,b)=ablcm ⁣(a,b)\gcd\!\left(a, b\right) = \frac{\left|a b\right|}{\operatorname{lcm}\!\left(a, b\right)}
Assumptions:aZ  and  bZ  and  a0  and  b0a \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; a \ne 0 \;\mathbin{\operatorname{and}}\; b \ne 0
\gcd\!\left(a, b\right) = \frac{\left|a b\right|}{\operatorname{lcm}\!\left(a, b\right)}

a \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; a \ne 0 \;\mathbin{\operatorname{and}}\; b \ne 0
Fungrim symbol Notation Short description
GCDgcd ⁣(a,b)\gcd\!\left(a, b\right) Greatest common divisor
Absz\left|z\right| Absolute value
LCMlcm ⁣(a,b)\operatorname{lcm}\!\left(a, b\right) Least common multiple
ZZZ\mathbb{Z} Integers
Source code for this entry:
    Formula(Equal(GCD(a, b), Div(Abs(Mul(a, b)), LCM(a, b)))),
    Variables(a, b),
    Assumptions(And(Element(a, ZZ), Element(b, ZZ), NotEqual(a, 0), NotEqual(b, 0))))

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2021-03-15 19:12:00.328586 UTC