Difference between revisions of "GCD Command"

Latest revision as of 09:34, 29 April 2023

This command differs among variants of English:

GCD (US)
HCF (UK + Aus)

GCD( <Number>, <Number> ): Calculates the greatest common divisor of the two numbers .; Example:
GCD(12, 15) yields 3.

GCD( <List of Numbers> ): Calculates the greatest common divisor of the list of numbers.; Example:
GCD({12, 30, 18}) yields 6.

Hint: In the

CAS View you can also use the following syntax:

GCD( <Polynomial>, <Polynomial> ): Calculates the greatest common divisor of the two polynomials.; Example:
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.; Example:
GCD({x^2 + 4 x + 4, x^2 - x - 6, x^3 - 4 x^2 - 3 x + 18}) yields x + 2.

Note: See also LCM Command and ExtendedGCD Command.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}}
-{{command|cas=true|algebra}}
 {{Alternate Language|region=US|page_type=Command|US_version=GCD|non-US_version=HCF}}
-;GCD[ <Number a>, <Number b> ]
+;GCD( <Number>, <Number> )
-:Calculates the greatest common divisor of numbers ''a'' and ''b''.
-:{{example| 1=<div><code><nowiki>GCD[12, 15]</nowiki></code> yields ''3''.</div>}}
-;GCD[ <List of Numbers> ]
-:Calculates the greatest common divisor of the list of numbers.
-:{{example| 1=<div><code><nowiki>GCD[{12, 30, 18}]</nowiki></code> yields ''6''.</div>}}
-==CAS Syntax==
-;GCD[ <Number> , <Number> ]
 :Calculates the greatest common divisor of the two numbers .
-:{{example| 1=<div><code><nowiki>GCD[12, 15]</nowiki></code> yields ''3''.</div>}}
+:{{example| 1=<div><code><nowiki>GCD(12, 15)</nowiki></code> yields ''3''.</div>}}
-;GCD[ <List of Numbers> ]
+;GCD( &lt;List of Numbers> )
 :Calculates the greatest common divisor of the list of numbers.
-:{{example| 1=<div><code><nowiki>GCD[{12, 30, 18}]</nowiki></code> yields ''6''.</div>}}
+:{{example| 1=<div><code><nowiki>GCD({12, 30, 18})</nowiki></code> yields ''6''.</div>}}
-;GCD[ <Polynomial>, <Polynomial> ]
+{{hint|In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] you can also use the following syntax:}}
+;GCD( <Polynomial>, <Polynomial> )
 :Calculates the greatest common divisor of the two polynomials.
-:{{example| 1=<div><code><nowiki>GCD[x^2 + 4 x + 4, x^2 - x - 6]</nowiki></code> yields ''x + 2''.</div>}}
+:{{example| 1=<div><code><nowiki>GCD(x^2 + 4 x + 4, x^2 - x - 6)</nowiki></code> yields ''x + 2''.</div>}}
-;GCD[ <List of Polynomials> ]
+;GCD( &lt;List of Polynomials> )
 : Calculates the greatest common divisor of the list of polynomials.
-:{{example| 1=<div><code><nowiki>GCD[{x^2 + 4 x + 4, x^2 - x - 6, x^3 - 4 x^2 - 3 x + 18}]</nowiki></code> yields ''x + 2''.</div>}}
+:{{example| 1=<div><code><nowiki>GCD({x^2 + 4 x + 4, x^2 - x - 6, x^3 - 4 x^2 - 3 x + 18})</nowiki></code> yields ''x + 2''.</div>}}
+{{note|See also [[LCM Command]] and [[ExtendedGCD Command]].}}

Difference between revisions of "GCD Command"

Latest revision as of 09:34, 29 April 2023

GCD

Command Categories (All commands)