A fully consistent relativistic random phase approximation (RRPA) built on the relativistic mean field (RMF) ground state is applied to study the giant multipole resonances of stable nuclei. The fully consistent RRPA requires that the nuclear RMF wave fun A fully consistent relativistic random phase approximation (RRPA) built on the relativistic mean field (RMF) ground state is applied to study the giant multipole resonances of stable nuclei. The fully consistent RRPA requires that the nuclear RMF wave fun