Finding Intersection of NSMutableArrays

I have three NSMutableArray containing names that are added to the lists according to different criterieas.

Here are my arrays pseudocode:

NSMutableArray *array1 = [@"Jack", @"John", @"Daniel", @"Lisa"];
NSMutableArray *array2 = [@"Jack", @"Bryan", @"Barney", @"Lisa",@"Penelope",@"Angelica"];
NSMutableArray *array3 = [@"Jack", @"Jerome", @"Dan", @"Lindsay", @"Lisa"];

I want to find a fourth array which includes the intersection of those three arrays. In this case for example it will be:

NSMutableArray *array4 = [@"Jack",@"Lisa"];

Because all the three array have jack and lisa as an element. Is there way of simply doing this?