Fungrim entry: b36dba

\gcd\!\left(a - b, b\right) = \gcd\!\left(a, b\right)

Assumptions:

a \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, b \in \mathbb{Z}

TeX:

\gcd\!\left(a - b, b\right) = \gcd\!\left(a, b\right)

a \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, b \in \mathbb{Z}

Definitions:

Fungrim symbol	Notation	Short description
`GCD`	$\gcd\!\left(n, k\right)$	Greatest common divisor
`ZZ`	$\mathbb{Z}$	Integers

Source code for this entry:

Entry(ID("b36dba"),
    Formula(Equal(GCD(Sub(a, b), b), GCD(a, b))),
    Variables(a, b),
    Assumptions(And(Element(a, ZZ), Element(b, ZZ))))

Topics using this entry

2019-06-18 07:49:59.356594 UTC