Use our free GCF of Fractions Calculator tool to compute the GCF of 6110/478, 5238/4091 i.e 2/1955498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6110/478, 5238/4091.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6110/478,5238/4091
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 6110/478,5238/4091, numerators are 6110,5238
Denominators are 478,4091
The GCF of 6110,5238 is 2 .
LCM of 478,4091 is 1955498.
The greatest common factor of 6110/478,5238/4091 = [GCF of 6110,5238]/[LCM of 478,4091]= 2/1955498
Therefore, the GCF of 6110/478,5238/4091 is 2/1955498.
To find the highest common factor of 6110,5238, we have to find the factors of both numbers and list the highest common factor.
The factors of 6110 are 1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110
The factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238
The HCF of 6110,5238 is 2.
Lets's calculate GCF of 6110,5238
2 | 6110, 5238 |
3055, 2619 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6110
:1,2,5,10,13,26,47,65,94,130,235,470,611,1222,3055,6110
Now, list down the factors of 5238
:1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238
Greatest Common Factor
We found the factors 6110,5238 . The biggest common factor number is the GCF number.
So the greatest common factor 6110,5238 is 2.
Lets's calculate LCM of 478,4091
Given numbers has no common factors except 1. So, there LCM is their product i.e 1955498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1955498
Therefore, the GCF of Fractions 6110/478,5238/4091 is 2/1955498
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 478,4091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,4091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,4091) x common factors =1 x 1 = 1
LCM(478,4091) = ( 478 × 4091 ) / 1
LCM(478,4091) = 1955498 / 1
LCM(478,4091) = 1955498
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6110,5238?
The HCF of 6110,5238 is 2
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 6110/478, 5238/4091?
Answer: GCF of Numerators as per given numbers 6110/478, 5238/4091 is
GCF of Numerators i.e. for 6110,5238 is 2
LCM of denominators i.e. for 478,4091 is 1955498.
Thus, GCF of Fractions is 2/1955498.Finally, GCF of Fractions for 6110/478, 5238/4091 is 2/1955498.