The GCD of given numbers is 5.
Step 1 : Find prime factorization of each number.
$$\begin{aligned}5245 =& 5\cdot1049\\[8pt]930 =& 2\cdot3\cdot5\cdot31\\[8pt]\end{aligned}$$(view steps on how to factor 5245 and 930. )
Step 2 : Put a box around factors that are common for all numbers:
$$\begin{aligned}5245 =& \color{blue}{\boxed{5}}\cdot1049\\[8pt]930 =& 2\cdot3\cdot\color{blue}{\boxed{5}}\cdot31\\[8pt]\end{aligned}$$Step 3 : Multiply the boxed numbers together:
$$ GCD = 5 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.