Question
Find Greatest Common Divisor of 387 and 301, using prime factorization.
Answer
The GCD of given numbers is 43.
Explanation
Step 1 : Find prime factorization of each number.
$$\begin{aligned}387 =& 3\cdot3\cdot43\\[8pt]301 =& 7\cdot43\\[8pt]\end{aligned}$$(view steps on how to factor 387 and 301. )
Step 2 : Put a box around factors that are common for all numbers:
$$\begin{aligned}387 =& 3\cdot3\cdot\color{blue}{\boxed{43}}\\[8pt]301 =& 7\cdot\color{blue}{\boxed{43}}\\[8pt]\end{aligned}$$Step 3 : Multiply the boxed numbers together:
$$ GCD = 43 $$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