$ yum search gfortran -- gives this;
gcc- gfortran .noarch : Fortran support
gcc44- gfortran .x86_64 : Fortran support
gcc48- gfortran .x86_64 : Fortran support
gcc64- gfortran .x86_64 : Fortran support
lib gfortran .i686 : Fortran runtime
lib gfortran .x86_64 : Fortran runtime
$ locate libgfortran. -- gives this;
/usr/lib/libgfortran.so
/usr/lib/gcc/x86_64-amazon-linux/4.8.5/libgfortran.a
/usr/lib/gcc/x86_64-amazon-linux/4.8.5/libgfortran.so
/usr/lib/gcc/x86_64-amazon-linux/4.8.5/libgfortran.spec
/usr/lib/gcc/x86_64-amazon-linux/4.8.5/libgfortranbegin.a
/usr/lib/gcc/x86_64-amazon-linux/4.8.5/32/libgfortran.a
/usr/lib/gcc/x86_64-amazon-linux/4.8.5/32/libgfortran.so
/usr/lib/gcc/x86_64-amazon-linux/4.8.5/32/libgfortranbegin.a
/usr/lib/gcc/x86_64-amazon-linux/6.4.1/libgfortran.a
/usr/lib/gcc/x86_64-amazon-linux/6.4.1/libgfortran.so
/usr/lib/gcc/x86_64-amazon-linux/6.4.1/libgfortran.spec
/usr/lib/gcc/x86_64-amazon-linux/6.4.1/32/libgfortran.a
/usr/lib/gcc/x86_64-amazon-linux/6.4.1/32/libgfortran.so
/usr/lib64/libgfortran.so.3
/usr/lib64/libgfortran.so.3.0.0
/usr/lib64/R/lib/libgfortran.so.3
/usr/share/doc/gcc48-gfortran-4.8.5/ChangeLog-2002.libgfortran.bz2
/usr/share/doc/gcc48-gfortran-4.8.5/ChangeLog-2003.libgfortran.bz2
/usr/share/doc/gcc48-gfortran-4.8.5/ChangeLog-2004.libgfortran.bz2
/usr/share/doc/gcc48-gfortran-4.8.5/ChangeLog-2005.libgfortran.bz2
/usr/share/doc/gcc48-gfortran-4.8.5/ChangeLog-2006.libgfortran.bz2
/usr/share/doc/gcc48-gfortran-4.8.5/ChangeLog-2007.libgfortran.bz2
/usr/share/doc/gcc48-gfortran-4.8.5/ChangeLog-2008.libgfortran.bz2
/usr/share/doc/gcc48-gfortran-4.8.5/ChangeLog-2009.libgfortran.bz2
/usr/share/doc/gcc48-gfortran-4.8.5/ChangeLog-2010.libgfortran.bz2
/usr/share/doc/gcc48-gfortran-4.8.5/ChangeLog-2011.libgfortran.bz2
/usr/share/doc/gcc48-gfortran-4.8.5/ChangeLog-2012.libgfortran.bz2
/usr/share/doc/gcc48-gfortran-4.8.5/ChangeLog.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2002.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2003.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2004.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2005.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2006.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2007.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2008.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2009.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2010.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2011.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2012.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2013.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2014.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog-2015.libgfortran.bz2
/usr/share/doc/gcc64-gfortran-6.4.1/ChangeLog.libgfortran.bz2
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/checksum_data
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/checksum_type
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/command_line
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/from_repo
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/from_repo_revision
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/from_repo_timestamp
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/installed_by
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/origin_url
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/reason
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/releasever
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/var_awsdomain
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/var_awsregion
/var/lib/yum/yumdb/l/026361e2155744084a6e78c42b24e94624d1838d-libgfortran-6.4.1-1.45.amzn1-x86_64/var_uuid