Use our free GCF of Fractions Calculator tool to compute the GCF of 5715/148, 7857/411 i.e 9/60828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5715/148, 7857/411.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5715/148,7857/411
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 5715/148,7857/411, numerators are 5715,7857
Denominators are 148,411
The GCF of 5715,7857 is 9 .
LCM of 148,411 is 60828.
The greatest common factor of 5715/148,7857/411 = [GCF of 5715,7857]/[LCM of 148,411]= 9/60828
Therefore, the GCF of 5715/148,7857/411 is 9/60828.
To find the highest common factor of 5715,7857, we have to find the factors of both numbers and list the highest common factor.
The factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715
The factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857
The HCF of 5715,7857 is 9.
Lets's calculate GCF of 5715,7857
3 | 5715, 7857 |
3 | 1905, 2619 |
635, 873 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 5715
:1,3,5,9,15,45,127,381,635,1143,1905,5715
Now, list down the factors of 7857
:1,3,9,27,81,97,291,873,2619,7857
Greatest Common Factor
We found the factors 5715,7857 . The biggest common factor number is the GCF number.
So the greatest common factor 5715,7857 is 9.
Lets's calculate LCM of 148,411
Given numbers has no common factors except 1. So, there LCM is their product i.e 60828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/60828
Therefore, the GCF of Fractions 5715/148,7857/411 is 9/60828
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 148,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(148,411) x common factors =1 x 1 = 1
LCM(148,411) = ( 148 × 411 ) / 1
LCM(148,411) = 60828 / 1
LCM(148,411) = 60828
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5715,7857?
The HCF of 5715,7857 is 9
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 5715/148, 7857/411?
Answer: GCF of Numerators as per given numbers 5715/148, 7857/411 is
GCF of Numerators i.e. for 5715,7857 is 9
LCM of denominators i.e. for 148,411 is 60828.
Thus, GCF of Fractions is 9/60828.Finally, GCF of Fractions for 5715/148, 7857/411 is 9/60828.