The GCD of given numbers is 4.
Step 1 :
Divide $ 1256 $ by $ 140 $ and get the remainder
The remainder is positive ($ 136 > 0 $), so we will continue with division.
Step 2 :
Divide $ 140 $ by $ \color{blue}{ 136 } $ and get the remainder
The remainder is still positive ($ 4 > 0 $), so we will continue with division.
Step 3 :
Divide $ 136 $ by $ \color{blue}{ 4 } $ and get the remainder
The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 4 }} $.
We can summarize an algorithm into a following table.
| 1256 | : | 140 | = | 8 | remainder ( 136 ) | ||||
| 140 | : | 136 | = | 1 | remainder ( 4 ) | ||||
| 136 | : | 4 | = | 34 | remainder ( 0 ) | ||||
| GCD = 4 | |||||||||
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.