Step 1 :
Divide $ 11033442 $ by $ 1102246 $ and get the remainder

$$ 11033442 : 1102246 = 10 \text{ ( remainder is } \color{blue}{ 10982 } \text{ ) } $$

The remainder is positive ($ 10982 > 0 $), so we will continue with division.

Step 2 :
Divide $ 1102246 $ by $ \color{blue}{ 10982 } $ and get the remainder

$$ 1102246 : 10982 = 100 \text{ ( remainder is } \color{blue}{ 4046 } \text{ ) } $$

The remainder is still positive ($ 4046 > 0 $), so we will continue with division.

Step 3 :
Divide $ 10982 $ by $ \color{blue}{ 4046 } $ and get the remainder

$$ 10982 : 4046 = 2 \text{ ( remainder is } \color{blue}{ 2890 } \text{ ) } $$

The remainder is still positive ($ 2890 > 0 $), so we will continue with division.

Step 4 :
Divide $ 4046 $ by $ \color{blue}{ 2890 } $ and get the remainder

$$ 4046 : 2890 = 1 \text{ ( remainder is } \color{blue}{ 1156 } \text{ ) } $$

The remainder is still positive ($ 1156 > 0 $), so we will continue with division.

Step 5 :
Divide $ 2890 $ by $ \color{blue}{ 1156 } $ and get the remainder

$$ 2890 : 1156 = 2 \text{ ( remainder is } \color{blue}{ 578 } \text{ ) } $$

The remainder is still positive ($ 578 > 0 $), so we will continue with division.

Step 6 :
Divide $ 1156 $ by $ \color{blue}{ 578 } $ and get the remainder

$$ 1156 : \color{blue}{ \boxed { 578 }} = 2 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 578 }} $.

This solution can be visualized using a Venn diagram.

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

GCD Calculator