Difference between revisions of "GCD Command"
From GeoGebra Manual
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{{Alternate Language|region=US|page_type=Command|US_version=GCD|non-US_version=HCF}} | {{Alternate Language|region=US|page_type=Command|US_version=GCD|non-US_version=HCF}} | ||
| − | ;GCD[Number a, Number b] | + | ;GCD[ <Number a>, <Number b> ] |
:Calculates the greatest common divisor of numbers ''a'' and ''b''. | :Calculates the greatest common divisor of numbers ''a'' and ''b''. | ||
:{{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[ <List of Numbers> ] |
:Calculates the greatest common divisor of the 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>}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;GCD[ <Number , Number> ] | + | ;GCD[ <Number> , <Number> ] |
:Calculates the greatest common divisor of the two numbers . | :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>}} | ||
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;GCD[ <List of Polynomials> ] | ;GCD[ <List of Polynomials> ] | ||
: Calculates the greatest common divisor of the 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, | + | :{{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>}} |
Revision as of 10:39, 14 September 2012
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This command differs among variants of English:
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- GCD[ <Number a>, <Number b> ]
- Calculates the greatest common divisor of numbers a and b.
- 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.
CAS Syntax
- 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.
- 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.
