Step 1 : Find prime factorization of each number.

$$\begin{aligned}3 =& 3\\[8pt]184 =& 2\cdot2\cdot2\cdot23\\[8pt]4 =& 2\cdot2\\[8pt]776 =& 2\cdot2\cdot2\cdot97\\[8pt]7 =& 7\\[8pt]960 =& 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\\[8pt]\end{aligned}$$

(view steps on how to factor 3, 184, 4, 776, 7 and 960. )

Step 2 : Put a box around factors that are common for all numbers:

$$\begin{aligned}3 =& 3\\[8pt]184 =& 2\cdot2\cdot2\cdot23\\[8pt]4 =& 2\cdot2\\[8pt]776 =& 2\cdot2\cdot2\cdot97\\[8pt]7 =& 7\\[8pt]960 =& 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\\[8pt]\end{aligned}$$

Note that in this example numbers do not have any common factors.

Step 3 : Multiply the boxed numbers together:

Since there is no boxed numbers we conclude that $~\color{blue}{ \text{GCD = 1} } $.

GCD Calculator