GCD function

This article describes the formula syntax and usage of the GCDfunction 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.


The example may be easier to understand if you copy it to a blank worksheet.

How do I copy an example?

  1. Select the example in this article.

    Important   Do not select the row or column headers.

    selecting an example from help

    Selecting an example from Help

  2. Press CTRL+C.

  3. In Excel, create a blank workbook or worksheet.

  4. In the worksheet, select cell A1, and press CTRL+V.

    Important   For the example to work properly, you must paste it into cell A1 of the worksheet.

  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

After you copy the example to a blank worksheet, you can adapt it to suit your needs.









Description (Result)

=GCD(5, 2)

Greatest common divisor of 5 and 2 (1)

=GCD(24, 36)

Greatest common divisor of 24 and 36 (12)

=GCD(7, 1)

Greatest common divisor of 7 and 1 (1)

=GCD(5, 0)

Greatest common divisor of 5 and 0 (5)

Applies To: Excel 2010, Excel Starter, Excel Online, SharePoint Online

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