Step 1 :
Divide $ 928374827 $ by $ 57842515 $ and get the remainder

$$ 928374827 : 57842515 = 16 \text{ ( remainder is } \color{blue}{ 2894587 } \text{ ) } $$

The remainder is positive ($ 2894587 > 0 $), so we will continue with division.

Step 2 :
Divide $ 57842515 $ by $ \color{blue}{ 2894587 } $ and get the remainder

$$ 57842515 : 2894587 = 19 \text{ ( remainder is } \color{blue}{ 2845362 } \text{ ) } $$

The remainder is still positive ($ 2845362 > 0 $), so we will continue with division.

Step 3 :
Divide $ 2894587 $ by $ \color{blue}{ 2845362 } $ and get the remainder

$$ 2894587 : 2845362 = 1 \text{ ( remainder is } \color{blue}{ 49225 } \text{ ) } $$

The remainder is still positive ($ 49225 > 0 $), so we will continue with division.

Step 4 :
Divide $ 2845362 $ by $ \color{blue}{ 49225 } $ and get the remainder

$$ 2845362 : 49225 = 57 \text{ ( remainder is } \color{blue}{ 39537 } \text{ ) } $$

The remainder is still positive ($ 39537 > 0 $), so we will continue with division.

Step 5 :
Divide $ 49225 $ by $ \color{blue}{ 39537 } $ and get the remainder

$$ 49225 : 39537 = 1 \text{ ( remainder is } \color{blue}{ 9688 } \text{ ) } $$

The remainder is still positive ($ 9688 > 0 $), so we will continue with division.

Step 6 :
Divide $ 39537 $ by $ \color{blue}{ 9688 } $ and get the remainder

$$ 39537 : 9688 = 4 \text{ ( remainder is } \color{blue}{ 785 } \text{ ) } $$

The remainder is still positive ($ 785 > 0 $), so we will continue with division.

Step 7 :
Divide $ 9688 $ by $ \color{blue}{ 785 } $ and get the remainder

$$ 9688 : 785 = 12 \text{ ( remainder is } \color{blue}{ 268 } \text{ ) } $$

The remainder is still positive ($ 268 > 0 $), so we will continue with division.

Step 8 :
Divide $ 785 $ by $ \color{blue}{ 268 } $ and get the remainder

$$ 785 : 268 = 2 \text{ ( remainder is } \color{blue}{ 249 } \text{ ) } $$

The remainder is still positive ($ 249 > 0 $), so we will continue with division.

Step 9 :
Divide $ 268 $ by $ \color{blue}{ 249 } $ and get the remainder

$$ 268 : 249 = 1 \text{ ( remainder is } \color{blue}{ 19 } \text{ ) } $$

The remainder is still positive ($ 19 > 0 $), so we will continue with division.

Step 10 :
Divide $ 249 $ by $ \color{blue}{ 19 } $ and get the remainder

$$ 249 : 19 = 13 \text{ ( remainder is } \color{blue}{ 2 } \text{ ) } $$

The remainder is still positive ($ 2 > 0 $), so we will continue with division.

Step 11 :
Divide $ 19 $ by $ \color{blue}{ 2 } $ and get the remainder

$$ 19 : 2 = 9 \text{ ( remainder is } \color{blue}{ 1 } \text{ ) } $$

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

Step 12 :
Divide $ 2 $ by $ \color{blue}{ 1 } $ and get the remainder

$$ 2 : \color{blue}{ \boxed { 1 }} = 2 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

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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