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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Integer Functions
>
Built-in
Mathematica
Symbol
Integer and Number Theoretic Functions
Tutorials »
|
CoprimeQ
PrimeQ
PolynomialGCD
Divisible
Rational
LCM
ExtendedGCD
ChineseRemainder
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See Also »
|
Integer Functions
Mathematical Functions
Number Theoretic Functions
Numerical Functions
More About »
GCD
GCD
[
n
1
,
n
2
,
...
]
gives the greatest common divisor of the
n
i
.
MORE INFORMATION
Integer mathematical function, suitable for both symbolic and numerical manipulation.
GCD
works with ordinary and Gaussian integers.
GCD
works not only with integers but also rational numbers, both real and complex.
For rational numbers
r
i
,
GCD
[
r
1
,
r
2
,
...
]
gives the greatest rational number
r
for which all the
r
i
/
r
are integers.
GCD
has attributes
Flat
and
Orderless
.
GCD
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Greatest common divisor of three numbers:
In[1]:=
Out[1]=
Plot the
GCD
for a number with 1000:
In[1]:=
Out[1]=
Scope
(4)
Applications
(5)
Properties & Relations
(6)
Possible Issues
(3)
Neat Examples
(3)
SEE ALSO
CoprimeQ
PrimeQ
PolynomialGCD
Divisible
Rational
LCM
ExtendedGCD
ChineseRemainder
Cancel
TUTORIALS
Integer and Number Theoretic Functions
RELATED LINKS
Demonstrations with GCD
(
Wolfram Demonstrations Project
)
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Integer Functions
Mathematical Functions
Number Theoretic Functions
Numerical Functions
New in 1 | Last modified in 4
EXAMPLES
Basic Examples 
Scope 