Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2285/139,3094/869
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 2285,3094
Greatest Common Factor of Numerators i.e. GCF of 2285,3094 is 1 .
LCM of Denominators means LCM of 139,869 as per the given fractions.
LCM of 139,869 is 120791 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2285,3094
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2285
List of positive integer factors of 2285 that divides 2285 without a remainder.
1,5,457,2285
Factors of 3094
List of positive integer factors of 3094 that divides 3094 without a remainder.
1,2,7,13,14,17,26,34,91,119,182,221,238,442,1547,3094
Greatest Common Factor
We found the factors 2285,3094 . The biggest common factor number is the GCF number.
So the greatest common factor 2285,3094 is 1.
Lets's calculate LCM of 139,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 120791
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120791
Therefore, the GCF of Fractions 2285/139,3094/869 is 1/120791
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 139,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,869) x common factors =1 x 1 = 1
LCM(139,869) = ( 139 × 869 ) / 1
LCM(139,869) = 120791 / 1
LCM(139,869) = 120791
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 2285/139, 3094/869?
Answer: GCF of Numerators as per given numbers 2285/139, 3094/869 is
GCF of Numerators i.e. for 2285,3094 is 1
LCM of denominators i.e. for 139,869 is 120791.
Thus, GCF of Fractions is 1/120791.Finally, GCF of Fractions for 2285/139, 3094/869 is 1/120791.