Step 1 :
Divide $ 3584 $ by $ 798 $ and get the remainder

$$ 3584 : 798 = 4 \text{ ( remainder is } \color{blue}{ 392 } \text{ ) } $$

The remainder is positive ($ 392 > 0 $), so we will continue with division.

Step 2 :
Divide $ 798 $ by $ \color{blue}{ 392 } $ and get the remainder

$$ 798 : 392 = 2 \text{ ( remainder is } \color{blue}{ 14 } \text{ ) } $$

The remainder is still positive ($ 14 > 0 $), so we will continue with division.

Step 3 :
Divide $ 392 $ by $ \color{blue}{ 14 } $ and get the remainder

$$ 392 : \color{blue}{ \boxed { 14 }} = 28 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 14 }} $.

This solution can be visualized using a Venn diagram.

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

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