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The present invention relates to a white light emitting diode having a single phase phosphor. The white light emitting diode having the single phase phosphor is characterized by including phosphor as a single phase compound based on gadolinium (Gd) of the rare-earth metal ions corresponding to a kind of garnet activated by cerium (Ce), wherein the ions included in the phosphor are composed of materials from Groups ?, ?, and ? of the periodic table of elements and are expressed in the following chemical formula. A(Al1-xMe?x/2Me?x/2)2[AlO4-xFy/2Ny/2]3, wherein SLn=Gd, Y, Lu, ?b, Ce, Pr, and Sm, constants A, x, and y are molar ratios, 0.25=A=3.5, 0.001=x=0.1, Me?= Li or Na or K, 0.001=y=0.05, Me?= V or Nb or Ta. The present invention can emit white light having a high color-rendering index through the single phase phosphor based on gadolinium of the rare-earth metal ions corresponding to garnet.