Find Greatest Common Divisor of 3 and 39, using prime factorization.
Answer
The GCD of given numbers is 3.
Explanation
Step 1 : Find prime factorization of each number.
$$\begin{aligned}3 =& 3\\[8pt]39 =& 3\cdot13\\[8pt]\end{aligned}$$(view steps on how to factor 3 and 39. )
Step 2 : Put a box around factors that are common for all numbers:
$$\begin{aligned}3 =& \color{blue}{\boxed{3}}\\[8pt]39 =& \color{blue}{\boxed{3}}\cdot13\\[8pt]\end{aligned}$$Step 3 : Multiply the boxed numbers together:
$$ GCD = 3 $$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