Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2131/337,9917/583
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 2131,9917
Greatest Common Factor of Numerators i.e. GCF of 2131,9917 is 1 .
LCM of Denominators means LCM of 337,583 as per the given fractions.
LCM of 337,583 is 196471 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2131,9917
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2131
List of positive integer factors of 2131 that divides 2131 without a remainder.
1,2131
Factors of 9917
List of positive integer factors of 9917 that divides 9917 without a remainder.
1,47,211,9917
Greatest Common Factor
We found the factors 2131,9917 . The biggest common factor number is the GCF number.
So the greatest common factor 2131,9917 is 1.
Lets's calculate LCM of 337,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 196471
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196471
Therefore, the GCF of Fractions 2131/337,9917/583 is 1/196471
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 337,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,583) x common factors =1 x 1 = 1
LCM(337,583) = ( 337 × 583 ) / 1
LCM(337,583) = 196471 / 1
LCM(337,583) = 196471
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 2131/337, 9917/583?
Answer: GCF of Numerators as per given numbers 2131/337, 9917/583 is
GCF of Numerators i.e. for 2131,9917 is 1
LCM of denominators i.e. for 337,583 is 196471.
Thus, GCF of Fractions is 1/196471.Finally, GCF of Fractions for 2131/337, 9917/583 is 1/196471.