In this present work, an effort is made towards improvement of machinability behaviour of EN8 steel in terms of material removal rate and surface roughness by varying three input parameters (spindle speed, feed and depth of cut) in dry turning with a computer numerically controlled lathe. This research work is identified as a multi-objective problem towards improvement of machinability by maximizing material removal rate and minimizing surface roughness. The design of experiment is prepared with L27 Taguchi-based orthogonal array and responses are recorded after experimentation. Analysis of variance is performed with the help of Minitab software to know the significance of inputs on responses. Main effect plot, Interaction plot and Pareto chart of the standardized effects are generated. Study reveals that to maximize the material removal rate, feed is the most significant input parameter followed by depth of cut and spindle speed but to maximize surface quality, spindle speed is the most significant input parameter followed by feed rate and depth of cut, respectively. Confirmatory test showed citable improvements during single-objective study. Moreover, this contrasting situation is optimized by performing Grey relational analysis combined with Taguchi method, where rank is obtained depending on grey relational grade. The best combination of input which provides the optimized response is identified as at spindle speed of 575 RPM, feed rate of 150 mm/min and depth of cut 0.7 mm.