Use our free GCF of Fractions Calculator tool to compute the GCF of 8331/515, 6864/683 i.e 3/351745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8331/515, 6864/683.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8331/515,6864/683
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 8331/515,6864/683, numerators are 8331,6864
Denominators are 515,683
The GCF of 8331,6864 is 3 .
LCM of 515,683 is 351745.
The greatest common factor of 8331/515,6864/683 = [GCF of 8331,6864]/[LCM of 515,683]= 3/351745
Therefore, the GCF of 8331/515,6864/683 is 3/351745.
To find the highest common factor of 8331,6864, we have to find the factors of both numbers and list the highest common factor.
The factors of 8331 are 1, 3, 2777, 8331
The factors of 6864 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864
The HCF of 8331,6864 is 3.
Lets's calculate GCF of 8331,6864
3 | 8331, 6864 |
2777, 2288 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 8331
:1,3,2777,8331
Now, list down the factors of 6864
:1,2,3,4,6,8,11,12,13,16,22,24,26,33,39,44,48,52,66,78,88,104,132,143,156,176,208,264,286,312,429,528,572,624,858,1144,1716,2288,3432,6864
Greatest Common Factor
We found the factors 8331,6864 . The biggest common factor number is the GCF number.
So the greatest common factor 8331,6864 is 3.
Lets's calculate LCM of 515,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 351745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/351745
Therefore, the GCF of Fractions 8331/515,6864/683 is 3/351745
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 515,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,683) x common factors =1 x 1 = 1
LCM(515,683) = ( 515 × 683 ) / 1
LCM(515,683) = 351745 / 1
LCM(515,683) = 351745
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8331,6864?
The HCF of 8331,6864 is 3
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 8331/515, 6864/683?
Answer: GCF of Numerators as per given numbers 8331/515, 6864/683 is
GCF of Numerators i.e. for 8331,6864 is 3
LCM of denominators i.e. for 515,683 is 351745.
Thus, GCF of Fractions is 3/351745.Finally, GCF of Fractions for 8331/515, 6864/683 is 3/351745.