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Quick Answer.  Noble gases are unreactive because their outer electron shells are full and therefore in their most stable state. Normally, elements react with one another because they have incomplete electron shells. They lose, gain or share electrons in order to gain a more stable electron configuration.
The noble gases. This group contains helium, neon, krypton, xenon and radon. They are different to elements belonging to other groups due to their resistance to form compounds. The reason behind their unreactivity is their full outer shells that give stability to the atoms.