Final answer:
The family of giants overthrown by the Olympian gods in Greek mythology are the Titans, who were the children of Uranus and Gaea.
Step-by-step explanation:
The family of giants in Greek mythology born of Uranus and Gaea, and who ruled the earth until overthrown by the Olympian gods, are known as the Titans. Among the Titans were twelve giants, six males and six females. They were central figures in the cosmic battles such as the Titanomachy, which saw the rise of the Olympian gods, including Zeus, Hera, and their counterparts who established residency on Mt. Olympus.
We also encounter heroes in Greek mythology, such as Perseus and Hercules, who often have divine parentage. Battles like the Gigantomachy, depicted on ancient friezes, showcase the dynamic and often violent nature of myths, where gods fought against the previous generation of deities to assert their dominance and secure their place in the pantheon.