This is the 779th most frequent Greek word.
βρήκαν
"Βρήκαν" means "they found."
Here, "βρήκαν" (they found) is used to indicate discovery of an object through search or chance.
Βρήκαν τον θησαυρό θαμμένο στην άμμο.
They found the treasure buried in the sand.
In this sentence, "βρήκαν" (they found) signifies arriving at an answer or solution mentally.
Βρήκαν τη λύση αφού σκέφτηκαν προσεκτικά.
They found the solution after thinking carefully.
Here, "βρήκαν" (they found) is used to convey locating a place or situation to stay in or to meet a need.