We will present new results of the proton unpolarized and helicity GPDs, within lattice QCD. Their x-dependence is extracted using the quasi-distribution method, which requires matrix elements of moving hadrons coupled with non-local operators. We use momentum boost up to 1.67 GeV, and momentum transfer squared up to 1 GeV^2. The calculation is performed on an Nf=2+1+1 ensemble of twisted mass fermions with a clover improvement, reproducing a pion mass of 260 MeV. The quasi-GPDs are matched to their light-cone counterparts using one-loop perturbation theory within Large Momentum Effective Theory (LaMET).