Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/343,184/878
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 91,184
Greatest Common Factor of Numerators i.e. GCF of 91,184 is 1 .
LCM of Denominators means LCM of 343,878 as per the given fractions.
LCM of 343,878 is 301154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,184
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 91,184 . The biggest common factor number is the GCF number.
So the greatest common factor 91,184 is 1.
Lets's calculate LCM of 343,878
Given numbers has no common factors except 1. So, there LCM is their product i.e 301154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301154
Therefore, the GCF of Fractions 91/343,184/878 is 1/301154
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 343,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,878) x common factors =1 x 1 = 1
LCM(343,878) = ( 343 × 878 ) / 1
LCM(343,878) = 301154 / 1
LCM(343,878) = 301154
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 91/343, 184/878?
Answer: GCF of Numerators as per given numbers 91/343, 184/878 is
GCF of Numerators i.e. for 91,184 is 1
LCM of denominators i.e. for 343,878 is 301154.
Thus, GCF of Fractions is 1/301154.Finally, GCF of Fractions for 91/343, 184/878 is 1/301154.