Step 1 :
Divide $ 145393 $ by $ 82933 $ and get the remainder

$$ 145393 : 82933 = 1 \text{ ( remainder is } \color{blue}{ 62460 } \text{ ) } $$

The remainder is positive ($ 62460 > 0 $), so we will continue with division.

Step 2 :
Divide $ 82933 $ by $ \color{blue}{ 62460 } $ and get the remainder

$$ 82933 : 62460 = 1 \text{ ( remainder is } \color{blue}{ 20473 } \text{ ) } $$

The remainder is still positive ($ 20473 > 0 $), so we will continue with division.

Step 3 :
Divide $ 62460 $ by $ \color{blue}{ 20473 } $ and get the remainder

$$ 62460 : 20473 = 3 \text{ ( remainder is } \color{blue}{ 1041 } \text{ ) } $$

The remainder is still positive ($ 1041 > 0 $), so we will continue with division.

Step 4 :
Divide $ 20473 $ by $ \color{blue}{ 1041 } $ and get the remainder

$$ 20473 : 1041 = 19 \text{ ( remainder is } \color{blue}{ 694 } \text{ ) } $$

The remainder is still positive ($ 694 > 0 $), so we will continue with division.

Step 5 :
Divide $ 1041 $ by $ \color{blue}{ 694 } $ and get the remainder

$$ 1041 : 694 = 1 \text{ ( remainder is } \color{blue}{ 347 } \text{ ) } $$

The remainder is still positive ($ 347 > 0 $), so we will continue with division.

Step 6 :
Divide $ 694 $ by $ \color{blue}{ 347 } $ and get the remainder

$$ 694 : \color{blue}{ \boxed { 347 }} = 2 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 347 }} $.

This solution can be visualized using a Venn diagram.

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

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