Find the C.M.M.D.C of an array of integers

The below method gets an array of integers and returns its C.M.M.D.C:

    public int cmmdc(int[] x) {

        int rest = 0;
        int flag = 0;
        int minim = x[0];

        for (int i = 0; i < x.length; i++) {
            if (x[i] < minim) {
                minim = x[i];
            }
        }

        int aux = 1;
        for (int i = 2; i < minim; i++) {
            flag = 0;
            for (int j = 0; j < x.length; j++) {
                rest = x[j] % i;
                if (rest != 0) {
                    flag = 1;
                    break;
                }
            }
            if (flag == 0) {
                aux = i;
            }
        }
        return aux;
    }