A study of the gas pressure effect in the position resolution of an interacting X-or gamma-ray photon in a gas medium is performed. The intrinsic position resolution for pure noble gases (Argon and Xenon) and their mixtures with CO 2 and CH 4 were calculated for several gas pressures (1-10 bar) and for photon energies between 5.4 and 60.0 keV, being possible to establish a linear match between the intrinsic position resolution and the inverse of the gas pressure in that energy range.In order to evaluate the quality of the method here described, a comparison between the available experimental data and the calculated one in this work, is done and discussed. In the majority of the cases, a strong agreement is observed. Keywords: Gaseous detectors; Gaseous imaging and tracking detectors; Charge transport and multiplication in gas; Detector modelling and simulations I (interaction of radiation with matter, interaction of photons with matter, interaction of hadrons with matter, etc) ArXiv ePrint: 1605.06256