Step 1 :
Divide $ 146742024 $ by $ 46957680 $ and get the remainder

$$ 146742024 : 46957680 = 3 \text{ ( remainder is } \color{blue}{ 5868984 } \text{ ) } $$

The remainder is positive ($ 5868984 > 0 $), so we will continue with division.

Step 2 :
Divide $ 46957680 $ by $ \color{blue}{ 5868984 } $ and get the remainder

$$ 46957680 : 5868984 = 8 \text{ ( remainder is } \color{blue}{ 5808 } \text{ ) } $$

The remainder is still positive ($ 5808 > 0 $), so we will continue with division.

Step 3 :
Divide $ 5868984 $ by $ \color{blue}{ 5808 } $ and get the remainder

$$ 5868984 : 5808 = 1010 \text{ ( remainder is } \color{blue}{ 2904 } \text{ ) } $$

The remainder is still positive ($ 2904 > 0 $), so we will continue with division.

Step 4 :
Divide $ 5808 $ by $ \color{blue}{ 2904 } $ and get the remainder

$$ 5808 : \color{blue}{ \boxed { 2904 }} = 2 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 2904 }} $.

This solution can be visualized using a Venn diagram.

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

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