Use our free GCF of Fractions Calculator tool to compute the GCF of 6091/809, 2112/7108 i.e 1/5750372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6091/809, 2112/7108.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6091/809,2112/7108
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 6091/809,2112/7108, numerators are 6091,2112
Denominators are 809,7108
The GCF of 6091,2112 is 1 .
LCM of 809,7108 is 5750372.
The greatest common factor of 6091/809,2112/7108 = [GCF of 6091,2112]/[LCM of 809,7108]= 1/5750372
Therefore, the GCF of 6091/809,2112/7108 is 1/5750372.
To find the highest common factor of 6091,2112, we have to find the factors of both numbers and list the highest common factor.
The factors of 6091 are 1, 6091
The factors of 2112 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112
The HCF of 6091,2112 is 1.
Lets's calculate GCF of 6091,2112
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6091
:1,6091
Now, list down the factors of 2112
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,132,176,192,264,352,528,704,1056,2112
Greatest Common Factor
We found the factors 6091,2112 . The biggest common factor number is the GCF number.
So the greatest common factor 6091,2112 is 1.
Lets's calculate LCM of 809,7108
Given numbers has no common factors except 1. So, there LCM is their product i.e 5750372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5750372
Therefore, the GCF of Fractions 6091/809,2112/7108 is 1/5750372
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 809,7108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,7108) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,7108) x common factors =1 x 1 = 1
LCM(809,7108) = ( 809 × 7108 ) / 1
LCM(809,7108) = 5750372 / 1
LCM(809,7108) = 5750372
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6091,2112?
The HCF of 6091,2112 is 1
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 6091/809, 2112/7108?
Answer: GCF of Numerators as per given numbers 6091/809, 2112/7108 is
GCF of Numerators i.e. for 6091,2112 is 1
LCM of denominators i.e. for 809,7108 is 5750372.
Thus, GCF of Fractions is 1/5750372.Finally, GCF of Fractions for 6091/809, 2112/7108 is 1/5750372.