Facebook Like or Google Plus One

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I have my product that promoted by a web page. I want to get the web page have a lot of fans to be shown on the page. I hearth about Facebook fun page or Facebook like and Google plus one can submit visitors' votes that they like my web page. I use both of them on my web page, But I don't know what exactly what are other benefits posting those programs beside showing the fans count. Is there any other benefits engaging Facebook like or Google plus button on a web page?