How can I install Google play services on Android 2.2? I have an unbranded tablet running android 2.2.

I was trying to develop an application using gcm and wanted to test it on the tablet. But somehow SERVICE_NOT_AVAILABLE error was coming. I then came to know that for android devices having version less than 4.2.2 , google play services has to be installed in the device for GCM to work.

Firstly, i tried to search for Google Play Services on PlayStore app. No result was shown. So instead i tried searching for it on phone's browser.
So when i saw the link on browser, a popup appeared asking for whether to open with browser or Playstore. I chose playstore and the link opened.
Which was kinda surprising because no result was shown earlier when searching through Playstore.

Secondly, when i tried to install the app it gave an error saying that Incompatible with other applications(s) using the sameshared user ID.

So, this means i cant test GCM on my device.
Any advice ?

Thanks in advance :)
I've just found the Google Play Services on the Play Store, here. Try opening this link on a desktop webbrowser and login into your Google account, then your tablet must be registered to your account, right? If it has any restrictions, the restriction will be shown to you when you try to hit install.