Property	Value
Hex Value	$BB09
Categories	Catalog > G Math > Number
Localizations	FR: pgcd(

gcd(

Overview

Returns the greatest common divisor of valueA and valueB, which can be real numbers or lists.

Availability: Token available everywhere.

Syntax

gcd(valueA,valueB)

Arguments

Name	Type	Optional
valueA	real|expression|real[]
valueB	real|expression|real[]

Location

math, NUM, 9:gcd(

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Description

The gcd( command returns the greatest common divisor (GCD) of two nonnegative integers. It also works on lists.

gcd(8,6)
     2
gcd({9,12},6)
     {3 6}
gcd({14,12},{6,8})
     {2 4}

Advanced Uses

A gcd( command can be nested inside another gcd( command to compare up to four numbers.

Error Conditions

• ERR:DIM MISMATCH is thrown if the arguments are two lists that don't have the same number of elements.
• ERR:DOMAIN is thrown if the arguments aren't positive integers (or lists of positive integers) less than 1E12.

Related Commands

• lcm(

See Also

• Extended Euclidean Algorithm

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Source: parts of this page were written by the following TI|BD contributors: burr, CloudVariable, DarkerLine, GoVegan, kg583, Myles_Zadok, thornahawk, Trenly.

History

Calculator	OS Version	Description
TI-83	0.01013	Added

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Last update: September 30, 2023 15:38:51
Created: February 23, 2023 23:15:01

Authors: Adrien Bertrand