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Okagbare produced a fine piece of relaxed sprinting to leave Veronica Campbell-Brown in silver and Kerron Stewart bronze.
England's Asha Philip produced a new personal best of 11.18secs to take fourth.
Compatriot Bianca Williams took sixth in her first major championships.
Philip said: "Fourth is always the first loser, but there's a lot more to come.
"I wanted a medal, but it's my first ever Commonwealth Games. I'm really happy with that."
Okagbare, who still has 200m and long jump gold to aim at in these Games, said: "A season's best, a win - I'm just happy I was able to pull it off. After 70m it just felt easy."
England's Asha Philip produced a new personal best of 11.18secs to take fourth.
Compatriot Bianca Williams took sixth in her first major championships.
Philip said: "Fourth is always the first loser, but there's a lot more to come.
"I wanted a medal, but it's my first ever Commonwealth Games. I'm really happy with that."
Okagbare, who still has 200m and long jump gold to aim at in these Games, said: "A season's best, a win - I'm just happy I was able to pull it off. After 70m it just felt easy."