Step 1 :
Divide $ 2026 $ by $ 1780 $ and get the remainder

$$ 2026 : 1780 = 1 \text{ ( remainder is } \color{blue}{ 246 } \text{ ) } $$

The remainder is positive ($ 246 > 0 $), so we will continue with division.

Step 2 :
Divide $ 1780 $ by $ \color{blue}{ 246 } $ and get the remainder

$$ 1780 : 246 = 7 \text{ ( remainder is } \color{blue}{ 58 } \text{ ) } $$

The remainder is still positive ($ 58 > 0 $), so we will continue with division.

Step 3 :
Divide $ 246 $ by $ \color{blue}{ 58 } $ and get the remainder

$$ 246 : 58 = 4 \text{ ( remainder is } \color{blue}{ 14 } \text{ ) } $$

The remainder is still positive ($ 14 > 0 $), so we will continue with division.

Step 4 :
Divide $ 58 $ by $ \color{blue}{ 14 } $ and get the remainder

$$ 58 : 14 = 4 \text{ ( remainder is } \color{blue}{ 2 } \text{ ) } $$

The remainder is still positive ($ 2 > 0 $), so we will continue with division.

Step 5 :
Divide $ 14 $ by $ \color{blue}{ 2 } $ and get the remainder

$$ 14 : \color{blue}{ \boxed { 2 }} = 7 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 2 }} $.

This solution can be visualized using a Venn diagram.

The GCD equals the product of the numbers at the intersection.

GCD Calculator