New calculations of the radiative forcing (RF) are presented for the three main well‐mixed greenhouse gases, methane, nitrous oxide, and carbon dioxide. Methane's RF is particularly impacted because of the inclusion of the shortwave forcing; the 1750–2011 RF is about 25% higher (increasing from 0.48 W m⁻² to 0.61 W m⁻²) compared to the value in the Intergovernmental Panel on Climate Change (IPCC) 2013 assessment; the 100 year global warming potential is 14% higher than the IPCC value. We present new simplified expressions to calculate RF. Unlike previous expressions used by IPCC, the new ones include the overlap between CO₂ and N₂O; for N₂O forcing, the CO₂ overlap can be as important as the CH₄ overlap. The 1750–2011 CO₂ RF is within 1% of IPCC's value but is about 10% higher when CO₂ amounts reach 2000 ppm, a value projected to be possible under the extended RCP8.5 scenario.