Hello all,

Does anyone know of a set of 4 integers S=[a,b,c,d] where where a,b,c,d >0, and that 3 of the integers in S have a common divisor 'x' > 1 , but also that the GCD(a,b,c,d)=1 ?

This is essentially plugging and playing in my mind, but I'm sure there is a more sophisticated method to this madness.