Step 1 :
Divide $ 16190 $ by $ 11190 $ and get the remainder

$$ 16190 : 11190 = 1 \text{ ( remainder is } \color{blue}{ 5000 } \text{ ) } $$

The remainder is positive ($ 5000 > 0 $), so we will continue with division.

Step 2 :
Divide $ 11190 $ by $ \color{blue}{ 5000 } $ and get the remainder

$$ 11190 : 5000 = 2 \text{ ( remainder is } \color{blue}{ 1190 } \text{ ) } $$

The remainder is still positive ($ 1190 > 0 $), so we will continue with division.

Step 3 :
Divide $ 5000 $ by $ \color{blue}{ 1190 } $ and get the remainder

$$ 5000 : 1190 = 4 \text{ ( remainder is } \color{blue}{ 240 } \text{ ) } $$

The remainder is still positive ($ 240 > 0 $), so we will continue with division.

Step 4 :
Divide $ 1190 $ by $ \color{blue}{ 240 } $ and get the remainder

$$ 1190 : 240 = 4 \text{ ( remainder is } \color{blue}{ 230 } \text{ ) } $$

The remainder is still positive ($ 230 > 0 $), so we will continue with division.

Step 5 :
Divide $ 240 $ by $ \color{blue}{ 230 } $ and get the remainder

$$ 240 : 230 = 1 \text{ ( remainder is } \color{blue}{ 10 } \text{ ) } $$

The remainder is still positive ($ 10 > 0 $), so we will continue with division.

Step 6 :
Divide $ 230 $ by $ \color{blue}{ 10 } $ and get the remainder

$$ 230 : \color{blue}{ \boxed { 10 }} = 23 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 10 }} $.

This solution can be visualized using a Venn diagram.

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

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