Find Greatest Common Divisor of 258 and 518, using prime factorization.
Answer
The GCD of given numbers is 2.
Explanation
Step 1 : Find prime factorization of each number.
$$\begin{aligned}258 =& 2\cdot3\cdot43\\[8pt]518 =& 2\cdot7\cdot37\\[8pt]\end{aligned}$$(view steps on how to factor 258 and 518. )
Step 2 : Put a box around factors that are common for all numbers:
$$\begin{aligned}258 =& \color{blue}{\boxed{2}}\cdot3\cdot43\\[8pt]518 =& \color{blue}{\boxed{2}}\cdot7\cdot37\\[8pt]\end{aligned}$$Step 3 : Multiply the boxed numbers together:
$$ GCD = 2 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
This page was created using
GCD Calculator