  In this paper we study the modification of thermodynamic properties of
Schwarzschild and Reissner-Nordstr\"{o}m black hole in the framework of
generalized uncertainty principle with correction terms upto fourth order in
momentum uncertainty. The mass-temperature relation and the heat capacity for
these black holes have been investigated. These have been used to obtain the
critical and remnant masses. The entropy expression using this generalized
uncertainty principle reveals the area law upto leading order logarithmic
corrections and subleading corrections of the form $\frac{1}{A^n}$. The mass
output and radiation rate using Stefan-Boltzmann law have been computed which
show deviations from the standard case and the case with the simplest form for
the generalized uncertainty principle.
