Question
Find Greatest Common Divisor of 623 and 89, using Euclidean algorithm.
Answer
The GCD of given numbers is 89.
Explanation
Step 1 :
Divide $ 623 $ by $ 89 $ and get the remainder
The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 89 }} $.
We can summarize an algorithm into a following table.
| 623 | : | 89 | = | 7 | remainder ( 0 ) |
| GCD = 89 | |||||
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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