You may use the [Merge][1] tool:

Combines multiple input datasets of the same data type into a single, new output dataset. This tool can combine point, line, or polygon feature classes or tables.

Open you model drag in the Merge tool, double click on in and add the many gdb tables within the input parameter, define out name and location, and then save model. [1]: http://resources.arcgis.com/en/help/main/10.2/index.html#//001700000055000000

You may use the Merge tool:

Combines multiple input datasets of the same data type into a single, new output dataset. This tool can combine point, line, or polygon feature classes or tables.

Open you model drag in the Merge tool, double click on in and add the many gdb tables within the input parameter, define out name and location, and then save model.