Greatest common divisor

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The greatest common divisor of two integers is the largest integer that divides them both.

There are many methods to calculate this. For example, the division-based Euclidean algorithm version may be programmed

function GreatestCommonDivisor( a, b:  Int64 ): Int64;
var
  temp : Int64;
begin
  while b <> 0 do
    begin
      temp := b ;
      b := a mod b ;
      a := temp ;
    end;
    result := a;
end;

See also