The term "Supreme Commander" was invented for General Dwight Eisenhower in World War 2. There is no such title since then.
However, the Commander in Chief of the Armed Forces today is President Obama.
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The answer to this question depends on which country your question relates to. In the United States the commander of the Armed Forces is the Secretary of Defence Robert Gates, but he is overseen by the US President Barack Obama.
The President of India is the Commander In Chief of Armed forces of India. There is no designation as Supreme Commander in India. C-in- C is the equivalent and comparable designation.
The president is called "The Commander in Chief," the supreme commander of the armed forces.
Executive branch, the commander in chief is the president who is in this branch.
The commander in chief of all the armed forces is the President of the United States.
The Commander in chief of the Phillipino armed forces is Benigno Aquino III, the President of the Philippines. The armed forces Chief of staff is General Ricardo David.