The GCD of given numbers is 132.
Step 1 :
Divide $ 24552 $ by $ 4884 $ and get the remainder
The remainder is positive ($ 132 > 0 $), so we will continue with division.
Step 2 :
Divide $ 4884 $ by $ \color{blue}{ 132 } $ and get the remainder
The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 132 }} $.
We can summarize an algorithm into a following table.
24552 | : | 4884 | = | 5 | remainder ( 132 ) | ||
4884 | : | 132 | = | 37 | remainder ( 0 ) | ||
GCD = 132 |
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.