GeoServer has a built-in support for several raster formats as you can check in the web interface section:
Although Geotiff is one of the best formats to publish raster data, you may need to have GeoServer using more formats. You may, for instance, want to avoid converting data to Geotiff.
In order to do this, we will install GDAL libraries on our server and then a specific GeoServer extension to include GDAL supported formats in GeoServer.
There are several ways to have GDAL libraries installed on your server. If the primary goal is to use them along with GeoServer, we recommend you use the binary archives from GeoSolutions, ...