Step 1 :
Divide $ 16010 $ by $ 11010 $ and get the remainder

$$ 16010 : 11010 = 1 \text{ ( remainder is } \color{blue}{ 5000 } \text{ ) } $$

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

Step 2 :
Divide $ 11010 $ by $ \color{blue}{ 5000 } $ and get the remainder

$$ 11010 : 5000 = 2 \text{ ( remainder is } \color{blue}{ 1010 } \text{ ) } $$

The remainder is still positive ($ 1010 > 0 $), so we will continue with division.

Step 3 :
Divide $ 5000 $ by $ \color{blue}{ 1010 } $ and get the remainder

$$ 5000 : 1010 = 4 \text{ ( remainder is } \color{blue}{ 960 } \text{ ) } $$

The remainder is still positive ($ 960 > 0 $), so we will continue with division.

Step 4 :
Divide $ 1010 $ by $ \color{blue}{ 960 } $ and get the remainder

$$ 1010 : 960 = 1 \text{ ( remainder is } \color{blue}{ 50 } \text{ ) } $$

The remainder is still positive ($ 50 > 0 $), so we will continue with division.

Step 5 :
Divide $ 960 $ by $ \color{blue}{ 50 } $ and get the remainder

$$ 960 : 50 = 19 \text{ ( remainder is } \color{blue}{ 10 } \text{ ) } $$

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

Step 6 :
Divide $ 50 $ by $ \color{blue}{ 10 } $ and get the remainder

$$ 50 : \color{blue}{ \boxed { 10 }} = 5 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

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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