Color accuracy is important in monitors because it helps users to view the full gamut of colors. If the colors are not right, then there will be a loss of color vibrancy and contrast.   There are many ways that one could go about checking for color accuracy in monitors. The most common way is by using a calibration tool that will measure RGB values and show data on the monitor's color gamut and gamma settings. This information can then be used to get a better understanding of how well-calibrated your monitor is.