[en] We consider the scattering amplitudes of the form V₁V₂→V₃V₄, where V_i=γ, Z, W or g (=gluon) are the standard model gauge bosons, due to graviton exchange in Kaluza-Klein theories with large extra dimensions. This leads to a number of experimentally viable signatures at high energy leptonic and hadronic colliders. We discuss the observability or attainable limits on the scale of the gravitational interactions (m_D), that may be obtained at an e⁺e^- Next Linear Collider (NLC) and at the CERN LHC, by studying some of these types of gauge-boson scattering processes. We find that the attainable limits through these type of processes are m_D(greater-or-similar sign)3 TeV at the NLC and m_D(greater-or-similar sign)6 TeV at the LHC. (c) 2000 The American Physical Society