Find Greatest Common Divisor of 941688 and 133980, using Euclidean algorithm.
Answer
The GCD of given numbers is 3828.
Explanation
Step 1 :
Divide $ 941688 $ by $ 133980 $ and get the remainder
The remainder is positive ($ 3828 > 0 $), so we will continue with division.
Step 2 :
Divide $ 133980 $ by $ \color{blue}{ 3828 } $ and get the remainder
The remainder is zero => GCD is the last divisor $ \color{blue}{ \boxed { 3828 }} $.
We can summarize an algorithm into a following table.
| 941688 | : | 133980 | = | 7 | remainder ( 3828 ) | ||
| 133980 | : | 3828 | = | 35 | remainder ( 0 ) | ||
| GCD = 3828 | |||||||
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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