Step 1 :
Divide $ 889079 $ by $ 773794 $ and get the remainder

$$ 889079 : 773794 = 1 \text{ ( remainder is } \color{blue}{ 115285 } \text{ ) } $$

The remainder is positive ($ 115285 > 0 $), so we will continue with division.

Step 2 :
Divide $ 773794 $ by $ \color{blue}{ 115285 } $ and get the remainder

$$ 773794 : 115285 = 6 \text{ ( remainder is } \color{blue}{ 82084 } \text{ ) } $$

The remainder is still positive ($ 82084 > 0 $), so we will continue with division.

Step 3 :
Divide $ 115285 $ by $ \color{blue}{ 82084 } $ and get the remainder

$$ 115285 : 82084 = 1 \text{ ( remainder is } \color{blue}{ 33201 } \text{ ) } $$

The remainder is still positive ($ 33201 > 0 $), so we will continue with division.

Step 4 :
Divide $ 82084 $ by $ \color{blue}{ 33201 } $ and get the remainder

$$ 82084 : 33201 = 2 \text{ ( remainder is } \color{blue}{ 15682 } \text{ ) } $$

The remainder is still positive ($ 15682 > 0 $), so we will continue with division.

Step 5 :
Divide $ 33201 $ by $ \color{blue}{ 15682 } $ and get the remainder

$$ 33201 : 15682 = 2 \text{ ( remainder is } \color{blue}{ 1837 } \text{ ) } $$

The remainder is still positive ($ 1837 > 0 $), so we will continue with division.

Step 6 :
Divide $ 15682 $ by $ \color{blue}{ 1837 } $ and get the remainder

$$ 15682 : 1837 = 8 \text{ ( remainder is } \color{blue}{ 986 } \text{ ) } $$

The remainder is still positive ($ 986 > 0 $), so we will continue with division.

Step 7 :
Divide $ 1837 $ by $ \color{blue}{ 986 } $ and get the remainder

$$ 1837 : 986 = 1 \text{ ( remainder is } \color{blue}{ 851 } \text{ ) } $$

The remainder is still positive ($ 851 > 0 $), so we will continue with division.

Step 8 :
Divide $ 986 $ by $ \color{blue}{ 851 } $ and get the remainder

$$ 986 : 851 = 1 \text{ ( remainder is } \color{blue}{ 135 } \text{ ) } $$

The remainder is still positive ($ 135 > 0 $), so we will continue with division.

Step 9 :
Divide $ 851 $ by $ \color{blue}{ 135 } $ and get the remainder

$$ 851 : 135 = 6 \text{ ( remainder is } \color{blue}{ 41 } \text{ ) } $$

The remainder is still positive ($ 41 > 0 $), so we will continue with division.

Step 10 :
Divide $ 135 $ by $ \color{blue}{ 41 } $ and get the remainder

$$ 135 : 41 = 3 \text{ ( remainder is } \color{blue}{ 12 } \text{ ) } $$

The remainder is still positive ($ 12 > 0 $), so we will continue with division.

Step 11 :
Divide $ 41 $ by $ \color{blue}{ 12 } $ and get the remainder

$$ 41 : 12 = 3 \text{ ( remainder is } \color{blue}{ 5 } \text{ ) } $$

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

Step 12 :
Divide $ 12 $ by $ \color{blue}{ 5 } $ and get the remainder

$$ 12 : 5 = 2 \text{ ( remainder is } \color{blue}{ 2 } \text{ ) } $$

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

Step 13 :
Divide $ 5 $ by $ \color{blue}{ 2 } $ and get the remainder

$$ 5 : 2 = 2 \text{ ( remainder is } \color{blue}{ 1 } \text{ ) } $$

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

Step 14 :
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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