Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 339/31,841/6882
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 339,841
Greatest Common Factor of Numerators i.e. GCF of 339,841 is 1 .
LCM of Denominators means LCM of 31,6882 as per the given fractions.
LCM of 31,6882 is 6882 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 339,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Greatest Common Factor
We found the factors 339,841 . The biggest common factor number is the GCF number.
So the greatest common factor 339,841 is 1.
Lets's calculate LCM of 31,6882
31 | 31, 6882 |
1, 222 |
∴ So the LCM of the given numbers is 31 x 1 x 222 = 6882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6882
Therefore, the GCF of Fractions 339/31,841/6882 is 1/6882
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 31,6882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,6882) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(31,6882) x common factors =31 x 1 = 31
LCM(31,6882) = ( 31 × 6882 ) / 31
LCM(31,6882) = 213342 / 31
LCM(31,6882) = 6882
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 339/31, 841/6882?
Answer: GCF of Numerators as per given numbers 339/31, 841/6882 is
GCF of Numerators i.e. for 339,841 is 1
LCM of denominators i.e. for 31,6882 is 6882.
Thus, GCF of Fractions is 1/6882.Finally, GCF of Fractions for 339/31, 841/6882 is 1/6882.