# Mathematics - (Divisor|Denominator)

The divisor is an element of a division operation.

$\frac{\displaystyle dividend}{\displaystyle divisor} = quotient$

## Theorem

If d is a divisor of N then N/d is also a divisor of N.

## Type

### Trivial

If d is a divisor of N, d is trivial if its value is 1 or N.

## Greatest common

Euclid's algorithm for greatest common divisor. This algorithm that dates back some 2300 years is attributed to Euclid, and is very fast.

def gcd(x,y): return x if y == 0 else gcd(y, x % y)


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