I think this is the easiest application to compare file hash.
HashTab
The application incorporates with the OS shell, so all you need to do to compare a file hash is to right click on a file and select properties, Then click on the tab for file hash and you can compare all the popular formats.
Even better, it will automatically import the contents of the clipboard. Just copy the MD5, SHA1, or whichever you prefer while the file is downloading. Then when the file is downloaded, go to Properties, File Hashes, and it will automatically compare the files hash with the hash stored in the clipboard.
Can't get any easier than that.