The GCD of given numbers is 399996.
Step 1 : Find prime factorization of each number.
$$\begin{aligned}1124788752 =& 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot19\cdot37\cdot41\cdot271\\[8pt]1118788812 =& 2\cdot2\cdot3\cdot3\cdot41\cdot271\cdot2797\\[8pt]\end{aligned}$$(view steps on how to factor 1124788752 and 1118788812. )
Step 2 : Put a box around factors that are common for all numbers:
$$\begin{aligned}1124788752 =& \color{blue}{\boxed{2}}\cdot\color{red}{\boxed{2}}\cdot2\cdot2\cdot\color{Fuchsia}{\boxed{3}}\cdot\color{Orange}{\boxed{3}}\cdot19\cdot37\cdot\color{Purple}{\boxed{41}}\cdot\color{blue}{\boxed{271}}\\[8pt]1118788812 =& \color{blue}{\boxed{2}}\cdot\color{red}{\boxed{2}}\cdot\color{Fuchsia}{\boxed{3}}\cdot\color{Orange}{\boxed{3}}\cdot\color{Purple}{\boxed{41}}\cdot\color{blue}{\boxed{271}}\cdot2797\\[8pt]\end{aligned}$$Step 3 : Multiply the boxed numbers together:
$$ GCD = 2\cdot2\cdot3\cdot3\cdot41\cdot271 = 399996 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.