The CP-even fractions (F_{+}) of the decays D^0\to\pi^{+}\pi^{-}\pi^{0} and D^0\to K^{+}K^{-}\pi^{0} are measured with a quantum-correlated \psi(3770)\to D\bar{D} data sample collected by the BESIII experiment corresponding to an integrated luminosity of 7.93 \mathrm{fb}^{-1}. The results are F_{+}^{\pi^{+}\pi^{-}\pi^{0}}=0.9406\pm0.0036\pm0.0021 and F_{+}^{K^{+}K^{-}\pi^{0}}=0.631\pm0.014\pm0.011, where the first uncertainties are statistical and the second systematic. These... Show more