How do I completely delete game data from my iphone 4s?

[ChristianNewbie123]

I have an iPhone 4S and I've been downloading several games, but when I delete them from the iPhone, data is still there. In other words if I were to go back into the app store and download the game again, I'd get back on the same level. This uses up a LOT of my space in the phone, so how do I COMPLETELY delete games?

Things to know:

1. I do NOT have game center signed up I never did
2. I do NOT have iCloud, I never did. Although when I go back into the app store on my iPhone and look for a game I got and later deleted, there's a little cloud there instead of the price of the app/game. Should that be there?
3. Don't give me any "well, deleting it from the iphone should delete all the data" cause obviously it doesn't.

Help please!

 

[Perpetual]

I suspect you are using iCloud and are just not aware of it.
Go to settings >> General >> Usage >> Under iCloud click manage Storage
If your game is listed under documents and data then the game's save data is being stored on your iCloud. If you wish to remove this. Click on game, then hit edit and remove. Note these files are very small. The iCloud features unlimited free storage for anything you purchase through the iTunes Store. This means all apps, music, videos.. Etc you purchase via iTunes is readily availiable to redownload at any time.

 

[Perpetual]

Some game developers store data on their own servers. These games will always require you to enter your username and password after reinstalling (providing you reboot your device after deleting them)

Edit: Excuse double post