su to root
cd /PATHtoYOURbinaryFILE
THEN Paste the following:
yum provides $(LD_LIBRARY_PATH=${PWD}/lib ldd ./NAMEofBINARY | grep "not found" | sort | uniq | awk '{print $1}') | grep fc16 | awk '{print $1}' | sort | uniq
The above example is for Fedora Core 16.
If your release is Fedora Core 17 for example:
yum provides $(LD_LIBRARY_PATH=${PWD}/lib ldd ./NAMEofBINARY | grep "not found" | sort | uniq | awk '{print $1}') | grep fc17 | awk '{print $1}' | sort | uniq