Step 1 :
Divide $ 3572 $ by $ 211 $ and get the remainder

$$ 3572 : 211 = 16 \text{ ( remainder is } \color{blue}{ 196 } \text{ ) } $$

The remainder is positive ($ 196 > 0 $), so we will continue with division.

Step 2 :
Divide $ 211 $ by $ \color{blue}{ 196 } $ and get the remainder

$$ 211 : 196 = 1 \text{ ( remainder is } \color{blue}{ 15 } \text{ ) } $$

The remainder is still positive ($ 15 > 0 $), so we will continue with division.

Step 3 :
Divide $ 196 $ by $ \color{blue}{ 15 } $ and get the remainder

$$ 196 : 15 = 13 \text{ ( remainder is } \color{blue}{ 1 } \text{ ) } $$

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

Step 4 :
Divide $ 15 $ by $ \color{blue}{ 1 } $ and get the remainder

$$ 15 : \color{blue}{ \boxed { 1 }} = 15 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

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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