Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 298/196,7939/6931
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 298,7939
Greatest Common Factor of Numerators i.e. GCF of 298,7939 is 1 .
LCM of Denominators means LCM of 196,6931 as per the given fractions.
LCM of 196,6931 is 1358476 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 298,7939
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Factors of 7939
List of positive integer factors of 7939 that divides 7939 without a remainder.
1,17,467,7939
Greatest Common Factor
We found the factors 298,7939 . The biggest common factor number is the GCF number.
So the greatest common factor 298,7939 is 1.
Lets's calculate LCM of 196,6931
Given numbers has no common factors except 1. So, there LCM is their product i.e 1358476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1358476
Therefore, the GCF of Fractions 298/196,7939/6931 is 1/1358476
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 196,6931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,6931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(196,6931) x common factors =1 x 1 = 1
LCM(196,6931) = ( 196 × 6931 ) / 1
LCM(196,6931) = 1358476 / 1
LCM(196,6931) = 1358476
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 298/196, 7939/6931?
Answer: GCF of Numerators as per given numbers 298/196, 7939/6931 is
GCF of Numerators i.e. for 298,7939 is 1
LCM of denominators i.e. for 196,6931 is 1358476.
Thus, GCF of Fractions is 1/1358476.Finally, GCF of Fractions for 298/196, 7939/6931 is 1/1358476.