Find Greatest Common Divisor of 1013, 11143 and 112443, using prime factorization.
Answer
The GCD of given numbers is 1013.
Explanation
Step 1 : Find prime factorization of each number.
$$\begin{aligned}1013 =& 1013\\[8pt]11143 =& 11\cdot1013\\[8pt]112443 =& 3\cdot37\cdot1013\\[8pt]\end{aligned}$$(view steps on how to factor 1013, 11143 and 112443. )
Step 2 : Put a box around factors that are common for all numbers:
$$\begin{aligned}1013 =& \color{blue}{\boxed{1013}}\\[8pt]11143 =& 11\cdot\color{blue}{\boxed{1013}}\\[8pt]112443 =& 3\cdot37\cdot\color{blue}{\boxed{1013}}\\[8pt]\end{aligned}$$Step 3 : Multiply the boxed numbers together:
$$ GCD = 1013 $$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