GRB 130427A, is the spectacular gamma ray explosion ever detected. It is believed to be originated from the core collapse of a massive star. It also achieved the record of being one of the most fluent and the longest duration GRB in GeV gamma rays lasting for about 20hrs. The redshift of this GRB has been detected as z=0.34. The Fermi-LAT Gamma-ray Space Telescope has detected a 95-GeV energy photon from GRB 130427A. The after glow radiation of this GRB was recorded by Swift XRT, BAT and UVOT. The Spectral Energy Distribution (SED) and Light curves of the prompt emission and afterglow help us to study the GRBs in detail. We have explained the afterglow SEDs and Light curve detected by LAT, XRT-BAT and UVOT/optical observations for GRB 130427A, by fitting it with the synchrotron emission model from the accelerated electrons for the adiabatic blastwave in both the interstellar medium (ISM) and wind environments. We see a better explanation of the observed data with synchrotron model in wind environment compared to ISM for this GRB.