Step 1 :
Divide $ 62839955 $ by $ 500000 $ and get the remainder

$$ 62839955 : 500000 = 125 \text{ ( remainder is } \color{blue}{ 339955 } \text{ ) } $$

The remainder is positive ($ 339955 > 0 $), so we will continue with division.

Step 2 :
Divide $ 500000 $ by $ \color{blue}{ 339955 } $ and get the remainder

$$ 500000 : 339955 = 1 \text{ ( remainder is } \color{blue}{ 160045 } \text{ ) } $$

The remainder is still positive ($ 160045 > 0 $), so we will continue with division.

Step 3 :
Divide $ 339955 $ by $ \color{blue}{ 160045 } $ and get the remainder

$$ 339955 : 160045 = 2 \text{ ( remainder is } \color{blue}{ 19865 } \text{ ) } $$

The remainder is still positive ($ 19865 > 0 $), so we will continue with division.

Step 4 :
Divide $ 160045 $ by $ \color{blue}{ 19865 } $ and get the remainder

$$ 160045 : 19865 = 8 \text{ ( remainder is } \color{blue}{ 1125 } \text{ ) } $$

The remainder is still positive ($ 1125 > 0 $), so we will continue with division.

Step 5 :
Divide $ 19865 $ by $ \color{blue}{ 1125 } $ and get the remainder

$$ 19865 : 1125 = 17 \text{ ( remainder is } \color{blue}{ 740 } \text{ ) } $$

The remainder is still positive ($ 740 > 0 $), so we will continue with division.

Step 6 :
Divide $ 1125 $ by $ \color{blue}{ 740 } $ and get the remainder

$$ 1125 : 740 = 1 \text{ ( remainder is } \color{blue}{ 385 } \text{ ) } $$

The remainder is still positive ($ 385 > 0 $), so we will continue with division.

Step 7 :
Divide $ 740 $ by $ \color{blue}{ 385 } $ and get the remainder

$$ 740 : 385 = 1 \text{ ( remainder is } \color{blue}{ 355 } \text{ ) } $$

The remainder is still positive ($ 355 > 0 $), so we will continue with division.

Step 8 :
Divide $ 385 $ by $ \color{blue}{ 355 } $ and get the remainder

$$ 385 : 355 = 1 \text{ ( remainder is } \color{blue}{ 30 } \text{ ) } $$

The remainder is still positive ($ 30 > 0 $), so we will continue with division.

Step 9 :
Divide $ 355 $ by $ \color{blue}{ 30 } $ and get the remainder

$$ 355 : 30 = 11 \text{ ( remainder is } \color{blue}{ 25 } \text{ ) } $$

The remainder is still positive ($ 25 > 0 $), so we will continue with division.

Step 10 :
Divide $ 30 $ by $ \color{blue}{ 25 } $ and get the remainder

$$ 30 : 25 = 1 \text{ ( remainder is } \color{blue}{ 5 } \text{ ) } $$

The remainder is still positive ($ 5 > 0 $), so we will continue with division.

Step 11 :
Divide $ 25 $ by $ \color{blue}{ 5 } $ and get the remainder

$$ 25 : \color{blue}{ \boxed { 5 }} = 5 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 5 }} $.

This solution can be visualized using a Venn diagram.

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

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