How many ordered pairs of positive integers (m, n) satisfy GCD(m, n) = 3 and LCM(m, n) = 108? Is there an alternative way than listing out ALL the possible combinations? If so, show your work.
LCM of 108 and 3 = 108 GCD of 108 and 3 = 3 LCM of 27 and 12 = 108 GCD of 27 and 12 = 3 LCM of 12 and 27 = 108 GCD of 12 and 27 = 3 LCM of 3 and 108 = 108 GCD of 3 and 108 = 3
Note: I do not know of an "alternative way" other than listing them!!
+312 
