The goal of this research is to calculate two basic parameters in Gumbel distribution which is known as prevailing model for quantifying risk associated with extreme wind speed, earthquakes and rainfall. This distribution depends on two basic parameters which are location and scale. To estimate these parameters four methods are applied; method of moments , maximum likelihood method , generalized extreme values and generalized Pareto method , for more than fifty years data of maximum wind speeds of three governorates of Iraq ( Baghdad , Basra and Mosul ) .A simple mathematical method is used in addition of using new software . Results shows similarity of these parameters (location and scale) as shown in tables and graphs for these methods indicated above and we use more tests depends on tabulated values which is improved using Gumbel distribution for extreme values .Fortran program was applied to calculate the equations and derive the parameters and goodness of fit test for the distribution that mentioned in the text.