Step 1 :
Divide $ 3584 $ by $ 368 $ and get the remainder

$$ 3584 : 368 = 9 \text{ ( remainder is } \color{blue}{ 272 } \text{ ) } $$

The remainder is positive ($ 272 > 0 $), so we will continue with division.

Step 2 :
Divide $ 368 $ by $ \color{blue}{ 272 } $ and get the remainder

$$ 368 : 272 = 1 \text{ ( remainder is } \color{blue}{ 96 } \text{ ) } $$

The remainder is still positive ($ 96 > 0 $), so we will continue with division.

Step 3 :
Divide $ 272 $ by $ \color{blue}{ 96 } $ and get the remainder

$$ 272 : 96 = 2 \text{ ( remainder is } \color{blue}{ 80 } \text{ ) } $$

The remainder is still positive ($ 80 > 0 $), so we will continue with division.

Step 4 :
Divide $ 96 $ by $ \color{blue}{ 80 } $ and get the remainder

$$ 96 : 80 = 1 \text{ ( remainder is } \color{blue}{ 16 } \text{ ) } $$

The remainder is still positive ($ 16 > 0 $), so we will continue with division.

Step 5 :
Divide $ 80 $ by $ \color{blue}{ 16 } $ and get the remainder

$$ 80 : \color{blue}{ \boxed { 16 }} = 5 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 16 }} $.

This solution can be visualized using a Venn diagram.

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

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