  In this paper, based on the Sturm-Liouville eigenvalue approach, we
analytically investigate the properties of holographic superconductors in the
background of pure Einstein and Gauss-Bonnet gravity taking into account the
backreaction of the spacetime. Higher value of the backreaction parameter
results in a harder condensation to form in both cases. The analytical results
obtained are found to be in good agreement with the existing numerical results.
