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GCD
 

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.

If this function is not available, and returns the #NAME? error, install and load the Analysis ToolPak add-in.

ShowHow?

  1. On the Tools menu, click Add-Ins.
  2. In the Add-Ins available list, select the Analysis ToolPak box, and then click OK.
  3. If necessary, follow the instructions in the setup program.

Syntax

GCD(number1,number2, ...)

Number1, number2, ...   are 1 to 29 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.

Example

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

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

    Note  Do not select the row or column headers.

    Selecting an example from Help

    Selecting an example from Help

  3. Press CTRL+C.
  4. In the worksheet, select cell A1, and press CTRL+V.
  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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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)
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