Step 1 :
Divide $ 2432 $ by $ 893 $ and get the remainder

$$ 2432 : 893 = 2 \text{ ( remainder is } \color{blue}{ 646 } \text{ ) } $$

The remainder is positive ($ 646 > 0 $), so we will continue with division.

Step 2 :
Divide $ 893 $ by $ \color{blue}{ 646 } $ and get the remainder

$$ 893 : 646 = 1 \text{ ( remainder is } \color{blue}{ 247 } \text{ ) } $$

The remainder is still positive ($ 247 > 0 $), so we will continue with division.

Step 3 :
Divide $ 646 $ by $ \color{blue}{ 247 } $ and get the remainder

$$ 646 : 247 = 2 \text{ ( remainder is } \color{blue}{ 152 } \text{ ) } $$

The remainder is still positive ($ 152 > 0 $), so we will continue with division.

Step 4 :
Divide $ 247 $ by $ \color{blue}{ 152 } $ and get the remainder

$$ 247 : 152 = 1 \text{ ( remainder is } \color{blue}{ 95 } \text{ ) } $$

The remainder is still positive ($ 95 > 0 $), so we will continue with division.

Step 5 :
Divide $ 152 $ by $ \color{blue}{ 95 } $ and get the remainder

$$ 152 : 95 = 1 \text{ ( remainder is } \color{blue}{ 57 } \text{ ) } $$

The remainder is still positive ($ 57 > 0 $), so we will continue with division.

Step 6 :
Divide $ 95 $ by $ \color{blue}{ 57 } $ and get the remainder

$$ 95 : 57 = 1 \text{ ( remainder is } \color{blue}{ 38 } \text{ ) } $$

The remainder is still positive ($ 38 > 0 $), so we will continue with division.

Step 7 :
Divide $ 57 $ by $ \color{blue}{ 38 } $ and get the remainder

$$ 57 : 38 = 1 \text{ ( remainder is } \color{blue}{ 19 } \text{ ) } $$

The remainder is still positive ($ 19 > 0 $), so we will continue with division.

Step 8 :
Divide $ 38 $ by $ \color{blue}{ 19 } $ and get the remainder

$$ 38 : \color{blue}{ \boxed { 19 }} = 2 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 19 }} $.

This solution can be visualized using a Venn diagram.

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

GCD Calculator