The GCD of given numbers is 39.
Step 1 :
Divide $ 741 $ by $ 78 $ and get the remainder
The remainder is positive ($ 39 > 0 $), so we will continue with division.
Step 2 :
Divide $ 78 $ by $ \color{blue}{ 39 } $ and get the remainder
The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 39 }} $.
We can summarize an algorithm into a following table.
| 741 | : | 78 | = | 9 | remainder ( 39 ) | ||
| 78 | : | 39 | = | 2 | remainder ( 0 ) | ||
| GCD = 39 | |||||||
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.