Step 1 :
Divide $ 2024 $ by $ 1058 $ and get the remainder

$$ 2024 : 1058 = 1 \text{ ( remainder is } \color{blue}{ 966 } \text{ ) } $$

The remainder is positive ($ 966 > 0 $), so we will continue with division.

Step 2 :
Divide $ 1058 $ by $ \color{blue}{ 966 } $ and get the remainder

$$ 1058 : 966 = 1 \text{ ( remainder is } \color{blue}{ 92 } \text{ ) } $$

The remainder is still positive ($ 92 > 0 $), so we will continue with division.

Step 3 :
Divide $ 966 $ by $ \color{blue}{ 92 } $ and get the remainder

$$ 966 : 92 = 10 \text{ ( remainder is } \color{blue}{ 46 } \text{ ) } $$

The remainder is still positive ($ 46 > 0 $), so we will continue with division.

Step 4 :
Divide $ 92 $ by $ \color{blue}{ 46 } $ and get the remainder

$$ 92 : \color{blue}{ \boxed { 46 }} = 2 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 46 }} $.

This solution can be visualized using a Venn diagram.

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

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