Need to convert a repeating Flash Video to another format for web page

The user needs to convert a short flash video (.FLV) to a video loop of some sort that can appear on the home page of a website.  (I assume that a looping GIF might be the way to go)

How do I do this conversion?   I have tried a few websites that offer this service, but they either have trouble recognizing the .FLV file or only return an empty video.

I have the Adobe Creative Suite, but not all the apps are installed.

Thanks
computerlarryAsked:
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David Johnson, CDRetiredCommented:
play the flash while recording the screen using any screen capture tools i.e. snagit/jing/camtasia/screencast-o-matic

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computerlarryAuthor Commented:
Do these tools convert to repeating .GIF?
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