Server 2012 and Server 2012R2 remove the GUI back to Core only
So you have installed Server 2012 with the Hyper-V role. Your server is fully configured via the GUI
Considering it is only running Hyper-V and you want to reduce it’s footprint and the patching, it seems only fair to remove the GUI.
This can be easily done via Powershell and note it requires a reboot
Reboot Later
Uninstall-WindowsFeature Server-Gui-Shell, Server-Gui-Mgmt-Infra
Reboot Now
Uninstall-WindowsFeature Server-Gui-Shell, Server-Gui-Mgmt-Infra -restart
Need the GUI back, again it’s an easy powershell command
Reboot Later
Install-WindowsFeature Server-Gui-Shell, Server-Gui-Mgmt-Infra
Reboot Now
Install-WindowsFeature Server-Gui-Shell, Server-Gui-Mgmt-Infra -restart