Science and Education Publishing Frontiers of Astronomy, Astrophysics and Cosmology 1 2 2015 09 13 Analytical Procedure for Estimating the Gravitational Constant with Nuclear Binding Energy of Stable Atomic Nuclides and Squared Avogadro Number 105 111 EN U. V. S. Seshavatharam S. Lakshminarayana Department of Nuclear Physics, Andhra University, Visakhapatnam-03, AP, India FAAC2015124 10.12691/faac-1-2-4 2015 07 15 2015 08 25 2015 09 13 By considering the strength of Schwarzschild interaction as 'unity' and by considering squared Avogadro number as a suitable scaling factor, in the previously published papers the authors made an attempt to understand the basics of nuclear physics and strong interaction. In this paper an attempt is made fit the magnitude of the gravitational constant with nuclear binding energy data of naturally occurring stable atomic nuclides starting from Z=30 to 92. Characteristic binding potential can be taken as . Stable atomic nuclides can be selected in such a way that, ratio of binding energy of the nuclide and characteristic binding potential is close to the proton number of that nuclide. Accuracy of the gravitational constant mainly depends on the selected number of stable atomic nuclides which in turn depends on the accuracy of the assumed binding potential. Very interesting observation is that, where is the strong coupling constant, is the fine structure ratio and is the characteristic nuclear size (1.20 to 1.25) fm. If and if