Step 1 :
Divide $ 3850 $ by $ 1162 $ and get the remainder

$$ 3850 : 1162 = 3 \text{ ( remainder is } \color{blue}{ 364 } \text{ ) } $$

The remainder is positive ($ 364 > 0 $), so we will continue with division.

Step 2 :
Divide $ 1162 $ by $ \color{blue}{ 364 } $ and get the remainder

$$ 1162 : 364 = 3 \text{ ( remainder is } \color{blue}{ 70 } \text{ ) } $$

The remainder is still positive ($ 70 > 0 $), so we will continue with division.

Step 3 :
Divide $ 364 $ by $ \color{blue}{ 70 } $ and get the remainder

$$ 364 : 70 = 5 \text{ ( remainder is } \color{blue}{ 14 } \text{ ) } $$

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

Step 4 :
Divide $ 70 $ by $ \color{blue}{ 14 } $ and get the remainder

$$ 70 : \color{blue}{ \boxed { 14 }} = 5 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

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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