Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8865/570,2878/241
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 8865,2878
Greatest Common Factor of Numerators i.e. GCF of 8865,2878 is 1 .
LCM of Denominators means LCM of 570,241 as per the given fractions.
LCM of 570,241 is 137370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8865,2878
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8865
List of positive integer factors of 8865 that divides 8865 without a remainder.
1,3,5,9,15,45,197,591,985,1773,2955,8865
Factors of 2878
List of positive integer factors of 2878 that divides 2878 without a remainder.
1,2,1439,2878
Greatest Common Factor
We found the factors 8865,2878 . The biggest common factor number is the GCF number.
So the greatest common factor 8865,2878 is 1.
Lets's calculate LCM of 570,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 137370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137370
Therefore, the GCF of Fractions 8865/570,2878/241 is 1/137370
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 570,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(570,241) x common factors =1 x 1 = 1
LCM(570,241) = ( 570 × 241 ) / 1
LCM(570,241) = 137370 / 1
LCM(570,241) = 137370
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 8865/570, 2878/241?
Answer: GCF of Numerators as per given numbers 8865/570, 2878/241 is
GCF of Numerators i.e. for 8865,2878 is 1
LCM of denominators i.e. for 570,241 is 137370.
Thus, GCF of Fractions is 1/137370.Finally, GCF of Fractions for 8865/570, 2878/241 is 1/137370.