Find Greatest Common Divisor of 50 and 4, using prime factorization.
Answer
The GCD of given numbers is 2.
Explanation
Step 1 : Find prime factorization of each number.
$$\begin{aligned}50 =& 2\cdot5\cdot5\\[8pt]4 =& 2\cdot2\\[8pt]\end{aligned}$$(view steps on how to factor 50 and 4. )
Step 2 : Put a box around factors that are common for all numbers:
$$\begin{aligned}50 =& \color{blue}{\boxed{2}}\cdot5\cdot5\\[8pt]4 =& \color{blue}{\boxed{2}}\cdot2\\[8pt]\end{aligned}$$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