guffaw
verb [I] 
to laugh loudly, esp. at something stupid that someone has said or done 
He guffawed with delight when he heard the news.
I tried very hard to restrain my laughter, but tears started flowing down my cheeks and I began guffawing.

guffaw
noun [C] 
She let out a loud guffaw.
His story was greeted with guffaws by his friends.