Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8117/294,9369/898
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 8117,9369
Greatest Common Factor of Numerators i.e. GCF of 8117,9369 is 1 .
LCM of Denominators means LCM of 294,898 as per the given fractions.
LCM of 294,898 is 132006 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8117,9369
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8117
List of positive integer factors of 8117 that divides 8117 without a remainder.
1,8117
Factors of 9369
List of positive integer factors of 9369 that divides 9369 without a remainder.
1,3,9,27,347,1041,3123,9369
Greatest Common Factor
We found the factors 8117,9369 . The biggest common factor number is the GCF number.
So the greatest common factor 8117,9369 is 1.
Lets's calculate LCM of 294,898
2 | 294, 898 |
147, 449 |
∴ So the LCM of the given numbers is 2 x 147 x 449 = 132006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132006
Therefore, the GCF of Fractions 8117/294,9369/898 is 1/132006
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 294,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(294,898) x common factors =2 x 1 = 2
LCM(294,898) = ( 294 × 898 ) / 2
LCM(294,898) = 264012 / 2
LCM(294,898) = 132006
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 8117/294, 9369/898?
Answer: GCF of Numerators as per given numbers 8117/294, 9369/898 is
GCF of Numerators i.e. for 8117,9369 is 1
LCM of denominators i.e. for 294,898 is 132006.
Thus, GCF of Fractions is 1/132006.Finally, GCF of Fractions for 8117/294, 9369/898 is 1/132006.