##  [Greatest Common Divisor](/greatest-common-divisor) 

  ##  [Greatest Common Divisor](https://puremath.quantumdictionary.io/greatest-common-divisor-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

For integers a and b (not both zero), the greatest common divisor gcd(a,b) is the largest positive integer that divides both a and b without remainder.