The GCD of given numbers is 294.
Step 1 :
Divide $ 2943234 $ by $ 2452548 $ and get the remainder
The remainder is positive ($ 490686 > 0 $), so we will continue with division.
Step 2 :
Divide $ 2452548 $ by $ \color{blue}{ 490686 } $ and get the remainder
The remainder is still positive ($ 489804 > 0 $), so we will continue with division.
Step 3 :
Divide $ 490686 $ by $ \color{blue}{ 489804 } $ and get the remainder
The remainder is still positive ($ 882 > 0 $), so we will continue with division.
Step 4 :
Divide $ 489804 $ by $ \color{blue}{ 882 } $ and get the remainder
The remainder is still positive ($ 294 > 0 $), so we will continue with division.
Step 5 :
Divide $ 882 $ by $ \color{blue}{ 294 } $ and get the remainder
The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 294 }} $.
We can summarize an algorithm into a following table.
| 2943234 | : | 2452548 | = | 1 | remainder ( 490686 ) | ||||||||
| 2452548 | : | 490686 | = | 4 | remainder ( 489804 ) | ||||||||
| 490686 | : | 489804 | = | 1 | remainder ( 882 ) | ||||||||
| 489804 | : | 882 | = | 555 | remainder ( 294 ) | ||||||||
| 882 | : | 294 | = | 3 | remainder ( 0 ) | ||||||||
| GCD = 294 | |||||||||||||
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.