GCD Command

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This command differs among variants of English:

  • GCD (US)

  • HCF (UK + Aus)
GCD( <Number>, <Number> )

Calculates the greatest common divisor of the two numbers .

GCD(12, 15) yields 3.

GCD( <List of Numbers> )

Calculates the greatest common divisor of the list of numbers.

GCD({12, 30, 18}) yields 6.

Note Hint: In the Menu view cas.svg CAS View you can also use the following syntax:
GCD( <Polynomial>, <Polynomial> )

Calculates the greatest common divisor of the two polynomials.

GCD(x^2 + 4 x + 4, x^2 - x - 6) yields x + 2.

GCD( <List of Polynomials> )

Calculates the greatest common divisor of the list of polynomials.

GCD({x^2 + 4 x + 4, x^2 - x - 6, x^3 - 4 x^2 - 3 x + 18}) yields x + 2.

See also LCM Command and ExtendedGCD Command.