Find Greatest Common Divisor of 5238 and 2425, using prime factorization.
Answer
The GCD of given numbers is 97.
Explanation
Step 1 : Find prime factorization of each number.
$$\begin{aligned}5238 =& 2\cdot3\cdot3\cdot3\cdot97\\[8pt]2425 =& 5\cdot5\cdot97\\[8pt]\end{aligned}$$(view steps on how to factor 5238 and 2425. )
Step 2 : Put a box around factors that are common for all numbers:
$$\begin{aligned}5238 =& 2\cdot3\cdot3\cdot3\cdot\color{blue}{\boxed{97}}\\[8pt]2425 =& 5\cdot5\cdot\color{blue}{\boxed{97}}\\[8pt]\end{aligned}$$Step 3 : Multiply the boxed numbers together:
$$ GCD = 97 $$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