Find Greatest Common Divisor of 618, 1030 and 1442, using prime factorization.

Step 1 : Find prime factorization of each number.

$$\begin{aligned}618 =& 2\cdot3\cdot103\\[8pt]1030 =& 2\cdot5\cdot103\\[8pt]1442 =& 2\cdot7\cdot103\\[8pt]\end{aligned}$$

(view steps on how to factor 618, 1030 and 1442. )

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

$$\begin{aligned}618 =& \color{blue}{\boxed{2}}\cdot3\cdot\color{red}{\boxed{103}}\\[8pt]1030 =& \color{blue}{\boxed{2}}\cdot5\cdot\color{red}{\boxed{103}}\\[8pt]1442 =& \color{blue}{\boxed{2}}\cdot7\cdot\color{red}{\boxed{103}}\\[8pt]\end{aligned}$$

Step 3 : Multiply the boxed numbers together:

$$ GCD = 2\cdot103 = 206 $$

This solution can be visualized using a Venn diagram.

The GCD equals the product of the numbers at the intersection.

GCD Calculator