In this paper, we present the single frequency PPP algorithms based on our GR models with applying CLAS (Centimeter Level Augmentation Service) data from Japan Quasi-Zenith-Satellite-System (QZSS). Throughout the numerical experiments by using the single frequency (L1-band, only) measurement data for the static position, we have very accurate positioning results; namely the total 3D-RMS errors by applying CLAS is approximately 0.13 [m], which is the superior positioning result achieved as a single frequency GPS measurements.