GCD function

This article describes the formula syntax and usage of the GCD function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) in Microsoft Excel.

Description

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.

Syntax

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

The GCD function syntax has the following arguments (argument: A value that provides information to an action, an event, a method, a property, a function, or a procedure.):

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

Remarks

  • 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.

Example

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

ShowHow do I copy an example?

  1. Select the example in this article. If you are copying the example in Excel Online, copy and paste one cell at a time.
    Important: Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help

  1. Press CTRL+C.
  2. Create a blank workbook or worksheet.
  3. In the worksheet, select cell A1, and press CTRL+V. If you are working in Excel Online, repeat copying and pasting for each cell in the example.
    Important: For the example to work properly, you must paste it into cell A1 of the worksheet.
  4. 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.

 
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Formula 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 Web App, SharePoint Online for enterprises, SharePoint Online for professionals and small businesses