Find Greatest Common Divisor of 2520 and 6300, using Euclidean algorithm.
Answer
The GCD of given numbers is 1260.
Explanation
Step 1 :
Divide $ 6300 $ by $ 2520 $ and get the remainder
The remainder is positive ($ 1260 > 0 $), so we will continue with division.
Step 2 :
Divide $ 2520 $ by $ \color{blue}{ 1260 } $ and get the remainder
The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 1260 }} $.
We can summarize an algorithm into a following table.
| 6300 | : | 2520 | = | 2 | remainder ( 1260 ) | ||
| 2520 | : | 1260 | = | 2 | remainder ( 0 ) | ||
| GCD = 1260 | |||||||
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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