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Question

Find Greatest Common Divisor of 63 and 693, using Euclidean algorithm.

Answer

The GCD of given numbers is 63.

Explanation

Step 1 :
Divide $ 693 $ by $ 63 $ and get the remainder

$$ 693 : \color{blue}{ \boxed { 63 }} = 11 \text{ ( remainder is } \color{blue}{ 0 } \text{ ) } $$

The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 63 }} $.

We can summarize an algorithm into a following table.

693 : 63 = 11 remainder ( 0 )
GCD = 63

This solution can be visualized using a Venn diagram.

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

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