The GCD of given numbers is 2.
Step 1 :
Divide $ 54 $ by $ 28 $ and get the remainder
The remainder is positive ($ 26 > 0 $), so we will continue with division.
Step 2 :
Divide $ 28 $ by $ \color{blue}{ 26 } $ and get the remainder
The remainder is still positive ($ 2 > 0 $), so we will continue with division.
Step 3 :
Divide $ 26 $ by $ \color{blue}{ 2 } $ and get the remainder
The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 2 }} $.
We can summarize an algorithm into a following table.
54 | : | 28 | = | 1 | remainder ( 26 ) | ||||
28 | : | 26 | = | 1 | remainder ( 2 ) | ||||
26 | : | 2 | = | 13 | remainder ( 0 ) | ||||
GCD = 2 |
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.