GCD function

This article describes the formula syntax and usage of the GCD function in Microsoft Excel.


Returns the greatest common divisor of two or more integers. The greatest common divisor is the largest integer that divides both number1 and number2 without a remainder.


GCD(number1, [number2], ...)

The GCD function syntax has the following arguments:

  • Number1, number2, ...    Number1 is required, subsequent numbers are optional. 1 to 255 values. If any value is not an integer, it is truncated.


  • If any argument is nonnumeric, GCD returns the #VALUE! error value.

  • If any argument is less than zero, GCD returns the #NUM! error value.

  • One divides any value evenly.

  • A prime number has only itself and one as even divisors.

  • If a parameter to GCD is >=2^53, GCD returns the #NUM! error value.


Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.




=GCD(5, 2)

Greatest common divisor of 5 and 2


=GCD(24, 36)

Greatest common divisor of 24 and 36


=GCD(7, 1)

Greatest common divisor of 7 and 1


=GCD(5, 0)

Greatest common divisor of 5 and 0


Applies To: Excel 2016, Excel 2010, Excel Starter, Excel 2013, Excel Online, Excel 2016 for Mac, Excel for Mac 2011, Excel 2007

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