greatest common divisor UK /ˈɡɹeɪ.tɪst ˈkɒm.ən dɪˈvaɪ.zə/US /ˈɡɹeɪ.tɪst ˈkɑ.mɪn dɪˈvaɪ.zɚ/ noun1 •The largest positive integer (respectively polynomial, element of a given ring) that is a divisor of each of a given set of integers (respectively polynomials, elements of a given ring).The greatest common divisor of 66, 30 and 18 is 6. formsgreatest common divisors