Step 1 :
Divide $ 5315135135 $ by $ 566666666 $ and get the remainder

$$ 5315135135 : 566666666 = 9 \text{ ( remainder is } \color{blue}{ 215135141 } \text{ ) } $$

The remainder is positive ($ 215135141 > 0 $), so we will continue with division.

Step 2 :
Divide $ 566666666 $ by $ \color{blue}{ 215135141 } $ and get the remainder

$$ 566666666 : 215135141 = 2 \text{ ( remainder is } \color{blue}{ 136396384 } \text{ ) } $$

The remainder is still positive ($ 136396384 > 0 $), so we will continue with division.

Step 3 :
Divide $ 215135141 $ by $ \color{blue}{ 136396384 } $ and get the remainder

$$ 215135141 : 136396384 = 1 \text{ ( remainder is } \color{blue}{ 78738757 } \text{ ) } $$

The remainder is still positive ($ 78738757 > 0 $), so we will continue with division.

Step 4 :
Divide $ 136396384 $ by $ \color{blue}{ 78738757 } $ and get the remainder

$$ 136396384 : 78738757 = 1 \text{ ( remainder is } \color{blue}{ 57657627 } \text{ ) } $$

The remainder is still positive ($ 57657627 > 0 $), so we will continue with division.

Step 5 :
Divide $ 78738757 $ by $ \color{blue}{ 57657627 } $ and get the remainder

$$ 78738757 : 57657627 = 1 \text{ ( remainder is } \color{blue}{ 21081130 } \text{ ) } $$

The remainder is still positive ($ 21081130 > 0 $), so we will continue with division.

Step 6 :
Divide $ 57657627 $ by $ \color{blue}{ 21081130 } $ and get the remainder

$$ 57657627 : 21081130 = 2 \text{ ( remainder is } \color{blue}{ 15495367 } \text{ ) } $$

The remainder is still positive ($ 15495367 > 0 $), so we will continue with division.

Step 7 :
Divide $ 21081130 $ by $ \color{blue}{ 15495367 } $ and get the remainder

$$ 21081130 : 15495367 = 1 \text{ ( remainder is } \color{blue}{ 5585763 } \text{ ) } $$

The remainder is still positive ($ 5585763 > 0 $), so we will continue with division.

Step 8 :
Divide $ 15495367 $ by $ \color{blue}{ 5585763 } $ and get the remainder

$$ 15495367 : 5585763 = 2 \text{ ( remainder is } \color{blue}{ 4323841 } \text{ ) } $$

The remainder is still positive ($ 4323841 > 0 $), so we will continue with division.

Step 9 :
Divide $ 5585763 $ by $ \color{blue}{ 4323841 } $ and get the remainder

$$ 5585763 : 4323841 = 1 \text{ ( remainder is } \color{blue}{ 1261922 } \text{ ) } $$

The remainder is still positive ($ 1261922 > 0 $), so we will continue with division.

Step 10 :
Divide $ 4323841 $ by $ \color{blue}{ 1261922 } $ and get the remainder

$$ 4323841 : 1261922 = 3 \text{ ( remainder is } \color{blue}{ 538075 } \text{ ) } $$

The remainder is still positive ($ 538075 > 0 $), so we will continue with division.

Step 11 :
Divide $ 1261922 $ by $ \color{blue}{ 538075 } $ and get the remainder

$$ 1261922 : 538075 = 2 \text{ ( remainder is } \color{blue}{ 185772 } \text{ ) } $$

The remainder is still positive ($ 185772 > 0 $), so we will continue with division.

Step 12 :
Divide $ 538075 $ by $ \color{blue}{ 185772 } $ and get the remainder

$$ 538075 : 185772 = 2 \text{ ( remainder is } \color{blue}{ 166531 } \text{ ) } $$

The remainder is still positive ($ 166531 > 0 $), so we will continue with division.

Step 13 :
Divide $ 185772 $ by $ \color{blue}{ 166531 } $ and get the remainder

$$ 185772 : 166531 = 1 \text{ ( remainder is } \color{blue}{ 19241 } \text{ ) } $$

The remainder is still positive ($ 19241 > 0 $), so we will continue with division.

Step 14 :
Divide $ 166531 $ by $ \color{blue}{ 19241 } $ and get the remainder

$$ 166531 : 19241 = 8 \text{ ( remainder is } \color{blue}{ 12603 } \text{ ) } $$

The remainder is still positive ($ 12603 > 0 $), so we will continue with division.

Step 15 :
Divide $ 19241 $ by $ \color{blue}{ 12603 } $ and get the remainder

$$ 19241 : 12603 = 1 \text{ ( remainder is } \color{blue}{ 6638 } \text{ ) } $$

The remainder is still positive ($ 6638 > 0 $), so we will continue with division.

Step 16 :
Divide $ 12603 $ by $ \color{blue}{ 6638 } $ and get the remainder

$$ 12603 : 6638 = 1 \text{ ( remainder is } \color{blue}{ 5965 } \text{ ) } $$

The remainder is still positive ($ 5965 > 0 $), so we will continue with division.

Step 17 :
Divide $ 6638 $ by $ \color{blue}{ 5965 } $ and get the remainder

$$ 6638 : 5965 = 1 \text{ ( remainder is } \color{blue}{ 673 } \text{ ) } $$

The remainder is still positive ($ 673 > 0 $), so we will continue with division.

Step 18 :
Divide $ 5965 $ by $ \color{blue}{ 673 } $ and get the remainder

$$ 5965 : 673 = 8 \text{ ( remainder is } \color{blue}{ 581 } \text{ ) } $$

The remainder is still positive ($ 581 > 0 $), so we will continue with division.

Step 19 :
Divide $ 673 $ by $ \color{blue}{ 581 } $ and get the remainder

$$ 673 : 581 = 1 \text{ ( remainder is } \color{blue}{ 92 } \text{ ) } $$

The remainder is still positive ($ 92 > 0 $), so we will continue with division.

Step 20 :
Divide $ 581 $ by $ \color{blue}{ 92 } $ and get the remainder

$$ 581 : 92 = 6 \text{ ( remainder is } \color{blue}{ 29 } \text{ ) } $$

The remainder is still positive ($ 29 > 0 $), so we will continue with division.

Step 21 :
Divide $ 92 $ by $ \color{blue}{ 29 } $ and get the remainder

$$ 92 : 29 = 3 \text{ ( remainder is } \color{blue}{ 5 } \text{ ) } $$

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

Step 22 :
Divide $ 29 $ by $ \color{blue}{ 5 } $ and get the remainder

$$ 29 : 5 = 5 \text{ ( remainder is } \color{blue}{ 4 } \text{ ) } $$

The remainder is still positive ($ 4 > 0 $), so we will continue with division.

Step 23 :
Divide $ 5 $ by $ \color{blue}{ 4 } $ and get the remainder

$$ 5 : 4 = 1 \text{ ( remainder is } \color{blue}{ 1 } \text{ ) } $$

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

Step 24 :
Divide $ 4 $ by $ \color{blue}{ 1 } $ and get the remainder

$$ 4 : \color{blue}{ \boxed { 1 }} = 4 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

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.

GCD Calculator