HP printer prints inaccurate colors!!

Recently I bought an HP AIO F4488 printer. Text/graphics print quality was nice with decent speeds. Soon I found that most of my printed colors did not match my monitor (calibrated one). They looked less vivid and unnaturally bright. Printer driver settings did not help me so I went to give ICC profiles a shot. Although, they did make prints look better but after trying again and again I realized that it was impossible for me to get a perfect calibration without professional tools. I got very close to the real colors by setting the profile sRGB IEC61966-2.1