Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 591/271,137/291
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 591,137
Greatest Common Factor of Numerators i.e. GCF of 591,137 is 1 .
LCM of Denominators means LCM of 271,291 as per the given fractions.
LCM of 271,291 is 78861 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 591,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 591,137 . The biggest common factor number is the GCF number.
So the greatest common factor 591,137 is 1.
Lets's calculate LCM of 271,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 78861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78861
Therefore, the GCF of Fractions 591/271,137/291 is 1/78861
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 271,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,291) x common factors =1 x 1 = 1
LCM(271,291) = ( 271 × 291 ) / 1
LCM(271,291) = 78861 / 1
LCM(271,291) = 78861
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 591/271, 137/291?
Answer: GCF of Numerators as per given numbers 591/271, 137/291 is
GCF of Numerators i.e. for 591,137 is 1
LCM of denominators i.e. for 271,291 is 78861.
Thus, GCF of Fractions is 1/78861.Finally, GCF of Fractions for 591/271, 137/291 is 1/78861.