For searching direct quantitative analysis of uranium in grey mixtures containing thorium and lanthanum without any separate process, a rank annihilation factor analysis of the acidity-spectra bilinear data matrices with arsenazo III as a chromogenic reagent was established. The range of acidity is pH = 0.3-4.8 and the range of wavelength is 600-680 nm in the process of measure. The results show that the detection limit of the method is 0.085 mg/ L and the relative standard deviations are from 1.5% to 4.2% when the mass concentrations of uranium in the mixtures are from 1.19 mg/L to 4.76 mg/L....