Step 1 :
Divide $ 16350 $ by $ 11350 $ and get the remainder

$$ 16350 : 11350 = 1 \text{ ( remainder is } \color{blue}{ 5000 } \text{ ) } $$

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

Step 2 :
Divide $ 11350 $ by $ \color{blue}{ 5000 } $ and get the remainder

$$ 11350 : 5000 = 2 \text{ ( remainder is } \color{blue}{ 1350 } \text{ ) } $$

The remainder is still positive ($ 1350 > 0 $), so we will continue with division.

Step 3 :
Divide $ 5000 $ by $ \color{blue}{ 1350 } $ and get the remainder

$$ 5000 : 1350 = 3 \text{ ( remainder is } \color{blue}{ 950 } \text{ ) } $$

The remainder is still positive ($ 950 > 0 $), so we will continue with division.

Step 4 :
Divide $ 1350 $ by $ \color{blue}{ 950 } $ and get the remainder

$$ 1350 : 950 = 1 \text{ ( remainder is } \color{blue}{ 400 } \text{ ) } $$

The remainder is still positive ($ 400 > 0 $), so we will continue with division.

Step 5 :
Divide $ 950 $ by $ \color{blue}{ 400 } $ and get the remainder

$$ 950 : 400 = 2 \text{ ( remainder is } \color{blue}{ 150 } \text{ ) } $$

The remainder is still positive ($ 150 > 0 $), so we will continue with division.

Step 6 :
Divide $ 400 $ by $ \color{blue}{ 150 } $ and get the remainder

$$ 400 : 150 = 2 \text{ ( remainder is } \color{blue}{ 100 } \text{ ) } $$

The remainder is still positive ($ 100 > 0 $), so we will continue with division.

Step 7 :
Divide $ 150 $ by $ \color{blue}{ 100 } $ and get the remainder

$$ 150 : 100 = 1 \text{ ( remainder is } \color{blue}{ 50 } \text{ ) } $$

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

Step 8 :
Divide $ 100 $ by $ \color{blue}{ 50 } $ and get the remainder

$$ 100 : \color{blue}{ \boxed { 50 }} = 2 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 50 }} $.

This solution can be visualized using a Venn diagram.

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

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