Step 1 :
Divide $ 5859 $ by $ 1232 $ and get the remainder

$$ 5859 : 1232 = 4 \text{ ( remainder is } \color{blue}{ 931 } \text{ ) } $$

The remainder is positive ($ 931 > 0 $), so we will continue with division.

Step 2 :
Divide $ 1232 $ by $ \color{blue}{ 931 } $ and get the remainder

$$ 1232 : 931 = 1 \text{ ( remainder is } \color{blue}{ 301 } \text{ ) } $$

The remainder is still positive ($ 301 > 0 $), so we will continue with division.

Step 3 :
Divide $ 931 $ by $ \color{blue}{ 301 } $ and get the remainder

$$ 931 : 301 = 3 \text{ ( remainder is } \color{blue}{ 28 } \text{ ) } $$

The remainder is still positive ($ 28 > 0 $), so we will continue with division.

Step 4 :
Divide $ 301 $ by $ \color{blue}{ 28 } $ and get the remainder

$$ 301 : 28 = 10 \text{ ( remainder is } \color{blue}{ 21 } \text{ ) } $$

The remainder is still positive ($ 21 > 0 $), so we will continue with division.

Step 5 :
Divide $ 28 $ by $ \color{blue}{ 21 } $ and get the remainder

$$ 28 : 21 = 1 \text{ ( remainder is } \color{blue}{ 7 } \text{ ) } $$

The remainder is still positive ($ 7 > 0 $), so we will continue with division.

Step 6 :
Divide $ 21 $ by $ \color{blue}{ 7 } $ and get the remainder

$$ 21 : \color{blue}{ \boxed { 7 }} = 3 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 7 }} $.

This solution can be visualized using a Venn diagram.

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

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