Use our free GCF of Fractions Calculator tool to compute the GCF of 6104/866, 7917/5132 i.e 7/2222156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6104/866, 7917/5132.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6104/866,7917/5132
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 6104/866,7917/5132, numerators are 6104,7917
Denominators are 866,5132
The GCF of 6104,7917 is 7 .
LCM of 866,5132 is 2222156.
The greatest common factor of 6104/866,7917/5132 = [GCF of 6104,7917]/[LCM of 866,5132]= 7/2222156
Therefore, the GCF of 6104/866,7917/5132 is 7/2222156.
To find the highest common factor of 6104,7917, we have to find the factors of both numbers and list the highest common factor.
The factors of 6104 are 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104
The factors of 7917 are 1, 3, 7, 13, 21, 29, 39, 87, 91, 203, 273, 377, 609, 1131, 2639, 7917
The HCF of 6104,7917 is 7.
Lets's calculate GCF of 6104,7917
7 | 6104, 7917 |
872, 1131 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 6104
:1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104
Now, list down the factors of 7917
:1,3,7,13,21,29,39,87,91,203,273,377,609,1131,2639,7917
Greatest Common Factor
We found the factors 6104,7917 . The biggest common factor number is the GCF number.
So the greatest common factor 6104,7917 is 7.
Lets's calculate LCM of 866,5132
2 | 866, 5132 |
433, 2566 |
∴ So the LCM of the given numbers is 2 x 433 x 2566 = 2222156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2222156
Therefore, the GCF of Fractions 6104/866,7917/5132 is 7/2222156
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 866,5132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,5132) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,5132) x common factors =2 x 1 = 2
LCM(866,5132) = ( 866 × 5132 ) / 2
LCM(866,5132) = 4444312 / 2
LCM(866,5132) = 2222156
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6104,7917?
The HCF of 6104,7917 is 7
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 6104/866, 7917/5132?
Answer: GCF of Numerators as per given numbers 6104/866, 7917/5132 is
GCF of Numerators i.e. for 6104,7917 is 7
LCM of denominators i.e. for 866,5132 is 2222156.
Thus, GCF of Fractions is 7/2222156.Finally, GCF of Fractions for 6104/866, 7917/5132 is 7/2222156.