Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4534/339,7311/854
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 4534,7311
Greatest Common Factor of Numerators i.e. GCF of 4534,7311 is 1 .
LCM of Denominators means LCM of 339,854 as per the given fractions.
LCM of 339,854 is 289506 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4534,7311
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4534
List of positive integer factors of 4534 that divides 4534 without a remainder.
1,2,2267,4534
Factors of 7311
List of positive integer factors of 7311 that divides 7311 without a remainder.
1,3,2437,7311
Greatest Common Factor
We found the factors 4534,7311 . The biggest common factor number is the GCF number.
So the greatest common factor 4534,7311 is 1.
Lets's calculate LCM of 339,854
Given numbers has no common factors except 1. So, there LCM is their product i.e 289506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289506
Therefore, the GCF of Fractions 4534/339,7311/854 is 1/289506
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 339,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,854) x common factors =1 x 1 = 1
LCM(339,854) = ( 339 × 854 ) / 1
LCM(339,854) = 289506 / 1
LCM(339,854) = 289506
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 4534/339, 7311/854?
Answer: GCF of Numerators as per given numbers 4534/339, 7311/854 is
GCF of Numerators i.e. for 4534,7311 is 1
LCM of denominators i.e. for 339,854 is 289506.
Thus, GCF of Fractions is 1/289506.Finally, GCF of Fractions for 4534/339, 7311/854 is 1/289506.