Use our free GCF of Fractions Calculator tool to compute the GCF of 204/783, 816/839 i.e 204/656937 easily. The following is the detailed procedure to determine the greatest common factor of fractions 204/783, 816/839.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 204/783,816/839
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 204/783,816/839, numerators are 204,816
Denominators are 783,839
The GCF of 204,816 is 204 .
LCM of 783,839 is 656937.
The greatest common factor of 204/783,816/839 = [GCF of 204,816]/[LCM of 783,839]= 204/656937
Therefore, the GCF of 204/783,816/839 is 204/656937.
To find the highest common factor of 204,816, we have to find the factors of both numbers and list the highest common factor.
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
The HCF of 204,816 is 204.
Lets's calculate GCF of 204,816
2 | 204, 816 |
2 | 102, 408 |
3 | 51, 204 |
17 | 17, 68 |
1, 4 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 17 = 204
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Now, list down the factors of 816
:1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 204,816 . The biggest common factor number is the GCF number.
So the greatest common factor 204,816 is 204.
Lets's calculate LCM of 783,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 656937
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 204/656937
Therefore, the GCF of Fractions 204/783,816/839 is 204/656937
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 783,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,839) x common factors =1 x 1 = 1
LCM(783,839) = ( 783 × 839 ) / 1
LCM(783,839) = 656937 / 1
LCM(783,839) = 656937
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 204,816?
The HCF of 204,816 is 204
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 204/783, 816/839?
Answer: GCF of Numerators as per given numbers 204/783, 816/839 is
GCF of Numerators i.e. for 204,816 is 204
LCM of denominators i.e. for 783,839 is 656937.
Thus, GCF of Fractions is 204/656937.Finally, GCF of Fractions for 204/783, 816/839 is 204/656937.