We analyze the impact of data from the full Run 1 of the LHC at 7 and 8 TeV on the CMSSM with mu > 0 and < 0 and the NUHM1 with mu > 0, incorporating the constraints imposed by other experiments such as precision electroweak measurements, flavour measurements, the cosmological density of cold dark matter and the direct search for the scattering of dark matter particles in the LUX experiment. We use the following results from the LHC experiments: ATLAS searches for events with MET accompanied by jets with the full 7 and 8 TeV data, the ATLAS and CMS measurements of the mass of the Higgs boson, the CMS searches for heavy neutral Higgs bosons and a combination of the LHCb and CMS measurements of B_s to mu+mu- and B_d to mu+mu-. Our results are based on samplings of the parameter spaces of the CMSSM for both mu>0 and mu<0 and of the NUHM1 for mu > 0 with 6.8 x 10^6, 6.2 x 10^6 and 1.6 x 10^7 points, respectively, obtained using the MultiNest tool. The impact of the Higgs mass constraint is assessed using FeynHiggs 2.10.0, which provides an improved prediction for the masses of the MSSM Higgs bosons in the region of heavy squark masses. It yields in general larger values of M_h than previo