We propose a continuous real space renormalization group transformation based on gradient flow, allowing for a numerical study of renormalization without the need for costly ensemble matching. We apply our technique in a pilot study of SU(3) gauge theory with N_{f}=12 fermions in the fundamental representation, finding the mass anomalous dimension to be γ_{m}=0.23(6), consistent with other perturbative and lattice estimates. We also present the first lattice calculation of the nucleon anomalous dimension in this theory, finding γ_{N}=0.05(5).