Step 1 :
Divide $ 10292 $ by $ 3486 $ and get the remainder

$$ 10292 : 3486 = 2 \text{ ( remainder is } \color{blue}{ 3320 } \text{ ) } $$

The remainder is positive ($ 3320 > 0 $), so we will continue with division.

Step 2 :
Divide $ 3486 $ by $ \color{blue}{ 3320 } $ and get the remainder

$$ 3486 : 3320 = 1 \text{ ( remainder is } \color{blue}{ 166 } \text{ ) } $$

The remainder is still positive ($ 166 > 0 $), so we will continue with division.

Step 3 :
Divide $ 3320 $ by $ \color{blue}{ 166 } $ and get the remainder

$$ 3320 : \color{blue}{ \boxed { 166 }} = 20 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 166 }} $.

This solution can be visualized using a Venn diagram.

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

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