What type(s) of qualities, or personalities, did Greek gods and goddesses have in Greek mythology?

Matters really what god or goddess you are talking about.

Explanation:

Zeus- wise, protective, stern, not a great husband, he carries out the wall of fate and keeps balance, doesn't make friends.

Hera - nagging, all seeing, but also compassionate, jealous and possessive, better at reconciling marriages that aren't her own.

Poseidon - moody, tempestuous, clever, creative, fond of beauty and mystery.  

Demetra - Kind, gentile, loving and nurturing, wrathful and protective of her children.

Hades - patient, calculating, stern, unyielding, merciless but just and fair.

Hestia - quiet, king, humble, protective.

Athena - Strong, wise, creative, protective

Apollo - Philosophical, defender

Artemis - wild, untamed, young, innocent, given to temper, fondness of the wild.

Ares - Cruel, violent, brave, called a "double faced liar" by Zeus

Aphrodite - romantic, sweet, loving but can also be jealous and wrathful, unfaithful

Hephaestus - insecure, creative, clever, sad

Hope this helps :)

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a countries leader should be motivated by the common good of the country.