Use our free GCF of Fractions Calculator tool to compute the GCF of 4112/843, 3161/5098 i.e 1/4297614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4112/843, 3161/5098.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4112/843,3161/5098
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 4112/843,3161/5098, numerators are 4112,3161
Denominators are 843,5098
The GCF of 4112,3161 is 1 .
LCM of 843,5098 is 4297614.
The greatest common factor of 4112/843,3161/5098 = [GCF of 4112,3161]/[LCM of 843,5098]= 1/4297614
Therefore, the GCF of 4112/843,3161/5098 is 1/4297614.
To find the highest common factor of 4112,3161, we have to find the factors of both numbers and list the highest common factor.
The factors of 4112 are 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112
The factors of 3161 are 1, 29, 109, 3161
The HCF of 4112,3161 is 1.
Lets's calculate GCF of 4112,3161
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4112
:1,2,4,8,16,257,514,1028,2056,4112
Now, list down the factors of 3161
:1,29,109,3161
Greatest Common Factor
We found the factors 4112,3161 . The biggest common factor number is the GCF number.
So the greatest common factor 4112,3161 is 1.
Lets's calculate LCM of 843,5098
Given numbers has no common factors except 1. So, there LCM is their product i.e 4297614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4297614
Therefore, the GCF of Fractions 4112/843,3161/5098 is 1/4297614
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 843,5098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,5098) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,5098) x common factors =1 x 1 = 1
LCM(843,5098) = ( 843 × 5098 ) / 1
LCM(843,5098) = 4297614 / 1
LCM(843,5098) = 4297614
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4112,3161?
The HCF of 4112,3161 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 4112/843, 3161/5098?
Answer: GCF of Numerators as per given numbers 4112/843, 3161/5098 is
GCF of Numerators i.e. for 4112,3161 is 1
LCM of denominators i.e. for 843,5098 is 4297614.
Thus, GCF of Fractions is 1/4297614.Finally, GCF of Fractions for 4112/843, 3161/5098 is 1/4297614.