Question
Find Greatest Common Divisor of 784 and 336, using Euclidean algorithm.
Answer
The GCD of given numbers is 112.
Explanation
Step 1 :
Divide by and get the remainder
The remainder is positive (), so we will continue with division.
Step 2 :
Divide by and get the remainder
The remainder is zero => GCD is the last divisor .
We can summarize an algorithm into a following table.
| 784 | : | 336 | = | 2 | remainder ( 112 ) | ||
| 336 | : | 112 | = | 3 | remainder ( 0 ) | ||
| GCD = 112 | |||||||
This solution can be visualized using a Venn diagram.
0,0
784
336
2
2
2
2
7
7
3
The GCD equals the product of the numbers at the intersection.
This page was created using
GCD Calculator