You're other option is to download XAMPP, if you want an all-in-one package ready to go.
You can get XAMPP from here
, but if you simply want a webserver running, just running this in terminal:
su -c 'yum install php'
That will install php-common also, which includes php-curl, and will install httpd, which is the apache2 web server you need to actually serve the web pages, if you haven't installed it already.
As the user above said, php-common by itself serves almost no purpose, and won't allow you to run a webserver alone. you need the php package to be able to handle php files, and httpd to actually run the webserver.
Edit: Oh yeah, and just so you know, the 'php' package in Fedora is version 5 by default. I'm not sure if you got that hint from markkuk above.