Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4039/241,2581/9881
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 4039,2581
Greatest Common Factor of Numerators i.e. GCF of 4039,2581 is 1 .
LCM of Denominators means LCM of 241,9881 as per the given fractions.
LCM of 241,9881 is 9881 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4039,2581
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4039
List of positive integer factors of 4039 that divides 4039 without a remainder.
1,7,577,4039
Factors of 2581
List of positive integer factors of 2581 that divides 2581 without a remainder.
1,29,89,2581
Greatest Common Factor
We found the factors 4039,2581 . The biggest common factor number is the GCF number.
So the greatest common factor 4039,2581 is 1.
Lets's calculate LCM of 241,9881
241 | 241, 9881 |
1, 41 |
∴ So the LCM of the given numbers is 241 x 1 x 41 = 9881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9881
Therefore, the GCF of Fractions 4039/241,2581/9881 is 1/9881
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 241,9881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,9881) = 241
common factors(in case of two or more numbers have common factors) = 1
GCF(241,9881) x common factors =241 x 1 = 241
LCM(241,9881) = ( 241 × 9881 ) / 241
LCM(241,9881) = 2381321 / 241
LCM(241,9881) = 9881
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 4039/241, 2581/9881?
Answer: GCF of Numerators as per given numbers 4039/241, 2581/9881 is
GCF of Numerators i.e. for 4039,2581 is 1
LCM of denominators i.e. for 241,9881 is 9881.
Thus, GCF of Fractions is 1/9881.Finally, GCF of Fractions for 4039/241, 2581/9881 is 1/9881.