What is the difference between "gracioso" and "divertido"?
I know they both mean funny, but in what context do you use them?

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I do concur with DavidM; it is a good rule of thumb if you think of “gracioso” as funny and “divertido” as fun.

Jane is a funny girl, but Mary is a fun girl.
Jane es una chica graciosa, pero Mary es una chica divertida.

I guess Gracioso is used to describe something comical while Divertido is used to describe something that gives you a good time.

Hope this helps!

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"grasioso" is when something provokes you to laugh, and "divertido" is just when something makes you happy.

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Misma diferencia que en inglés "fun" y "funny"

The film is fun -> La película es divertida.
The film is funny -> La película es graciosa.

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Son muy similares aunque gracioso es lo que piensas sobre algo que te causa risa o gracia y divertido viene de divertir es decir que te sientes muy bien haciéndolo o esa cosa o persona te hace pasar un buen momento

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"gracioso" it's how you call someone or something but in an informal way, and "divertido" it's the same but a little more formal.