Step 1 :
Divide $ 3026 $ by $ 359 $ and get the remainder

$$ 3026 : 359 = 8 \text{ ( remainder is } \color{blue}{ 154 } \text{ ) } $$

The remainder is positive ($ 154 > 0 $), so we will continue with division.

Step 2 :
Divide $ 359 $ by $ \color{blue}{ 154 } $ and get the remainder

$$ 359 : 154 = 2 \text{ ( remainder is } \color{blue}{ 51 } \text{ ) } $$

The remainder is still positive ($ 51 > 0 $), so we will continue with division.

Step 3 :
Divide $ 154 $ by $ \color{blue}{ 51 } $ and get the remainder

$$ 154 : 51 = 3 \text{ ( remainder is } \color{blue}{ 1 } \text{ ) } $$

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

Step 4 :
Divide $ 51 $ by $ \color{blue}{ 1 } $ and get the remainder

$$ 51 : \color{blue}{ \boxed { 1 }} = 51 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

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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