Step 1 :
Divide $ 5981 $ by $ 732 $ and get the remainder

$$ 5981 : 732 = 8 \text{ ( remainder is } \color{blue}{ 125 } \text{ ) } $$

The remainder is positive ($ 125 > 0 $), so we will continue with division.

Step 2 :
Divide $ 732 $ by $ \color{blue}{ 125 } $ and get the remainder

$$ 732 : 125 = 5 \text{ ( remainder is } \color{blue}{ 107 } \text{ ) } $$

The remainder is still positive ($ 107 > 0 $), so we will continue with division.

Step 3 :
Divide $ 125 $ by $ \color{blue}{ 107 } $ and get the remainder

$$ 125 : 107 = 1 \text{ ( remainder is } \color{blue}{ 18 } \text{ ) } $$

The remainder is still positive ($ 18 > 0 $), so we will continue with division.

Step 4 :
Divide $ 107 $ by $ \color{blue}{ 18 } $ and get the remainder

$$ 107 : 18 = 5 \text{ ( remainder is } \color{blue}{ 17 } \text{ ) } $$

The remainder is still positive ($ 17 > 0 $), so we will continue with division.

Step 5 :
Divide $ 18 $ by $ \color{blue}{ 17 } $ and get the remainder

$$ 18 : 17 = 1 \text{ ( remainder is } \color{blue}{ 1 } \text{ ) } $$

The remainder is still positive ($ 1 > 0 $), so we will continue with division.

Step 6 :
Divide $ 17 $ by $ \color{blue}{ 1 } $ and get the remainder

$$ 17 : \color{blue}{ \boxed { 1 }} = 17 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 1 }} $.

This solution can be visualized using a Venn diagram.

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

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