JotForm is a free online form builder which helps you create online forms without writing a single line of code. No sign-up required.
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If I understood correctly you wish to add your form to the Facebook page and that it is available also to mobile devices. Please try adding your form using the method here described:
If you find any troubles please let us know the url where the form is added and the devices used, so we can make further tests.
Let us know if we can assist you further.