Step 1 :
Divide $ 14860 $ by $ 4424 $ and get the remainder

$$ 14860 : 4424 = 3 \text{ ( remainder is } \color{blue}{ 1588 } \text{ ) } $$

The remainder is positive ($ 1588 > 0 $), so we will continue with division.

Step 2 :
Divide $ 4424 $ by $ \color{blue}{ 1588 } $ and get the remainder

$$ 4424 : 1588 = 2 \text{ ( remainder is } \color{blue}{ 1248 } \text{ ) } $$

The remainder is still positive ($ 1248 > 0 $), so we will continue with division.

Step 3 :
Divide $ 1588 $ by $ \color{blue}{ 1248 } $ and get the remainder

$$ 1588 : 1248 = 1 \text{ ( remainder is } \color{blue}{ 340 } \text{ ) } $$

The remainder is still positive ($ 340 > 0 $), so we will continue with division.

Step 4 :
Divide $ 1248 $ by $ \color{blue}{ 340 } $ and get the remainder

$$ 1248 : 340 = 3 \text{ ( remainder is } \color{blue}{ 228 } \text{ ) } $$

The remainder is still positive ($ 228 > 0 $), so we will continue with division.

Step 5 :
Divide $ 340 $ by $ \color{blue}{ 228 } $ and get the remainder

$$ 340 : 228 = 1 \text{ ( remainder is } \color{blue}{ 112 } \text{ ) } $$

The remainder is still positive ($ 112 > 0 $), so we will continue with division.

Step 6 :
Divide $ 228 $ by $ \color{blue}{ 112 } $ and get the remainder

$$ 228 : 112 = 2 \text{ ( remainder is } \color{blue}{ 4 } \text{ ) } $$

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

Step 7 :
Divide $ 112 $ by $ \color{blue}{ 4 } $ and get the remainder

$$ 112 : \color{blue}{ \boxed { 4 }} = 28 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 4 }} $.

This solution can be visualized using a Venn diagram.

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

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