In your other post you accepted the GFCI from the 2008 Nec. Something else that change is the range and dryer circuits. They now have to be 4 wire instead of 3 wire.
See Article 250.140 below
Frames of Ranges and Clothes Dryers. Frames of electric ranges, wall-mounted ovens, counter mounted cooking units, clothes dryers, and outlet or junction boxes that are part of the circuit for these appliances shall be connected to the equipment grounding conductor in the manner specified by 250.134 or 250.138.
Exception: For existing branch circuit installations only where and equipment grounding conductor ia not present in the outlet or junction box, the frames of wall-mounted ovens, countermounted cooking units, clothes dryers, and outlet or junction boxes that are part of the circuit for these appliances shall be permitted to be connected to the grounded circuit conductor if all the following conditions are met.
(1) The supply circuit is 120/240-volt, single-phase,
3-wire; or 208Y/120-volt derived from a 3-phase,
4-wire, wye-connected system.
(2) The grounded conductor is not smaller than 10 AWG
copper or 8 AWG aluminum.
(3) The grounded conductor is insulated, or the grounded
conductor is uninsulated and part of a Type SE service entrance
cable and the branch circuit originates at the
(4) Grounding contacts of receptacles furnished as part of
the equipment are bonded to the equipment.
So if you are replacing the circuit, most jurisdictions would require you to run 10/3 with a ground to your dryer, and make sure you separated the bonding strap from the grounded conductor in the dryer.
10/3 with a ground gives you 2 hots a grounded conductor ( neutral) and an uninsulated grounding conductor.
This makes a much safer installation.