Conventional Coordinate Rotation Digital Computer (CORDIC) algorithm is an effective implementation of trigonometric function, and it has been widely applied in digital signal processing. In this paper, we propose a novel CORDIC architecture based on Scaling Free (SF) theory, which adopts adaptive recoding method to reduce the iterations and eliminate the scaling factor. The proposed scheme has been synthesized using 65nm CMOS technology with standard cell library. Compared with SFB4C, our scheme saves 21.11% to 34.64% hardware-overhead with no performance penalty.