Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8841/220,5863/2487
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 8841,5863
Greatest Common Factor of Numerators i.e. GCF of 8841,5863 is 1 .
LCM of Denominators means LCM of 220,2487 as per the given fractions.
LCM of 220,2487 is 547140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8841,5863
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8841
List of positive integer factors of 8841 that divides 8841 without a remainder.
1,3,7,21,421,1263,2947,8841
Factors of 5863
List of positive integer factors of 5863 that divides 5863 without a remainder.
1,11,13,41,143,451,533,5863
Greatest Common Factor
We found the factors 8841,5863 . The biggest common factor number is the GCF number.
So the greatest common factor 8841,5863 is 1.
Lets's calculate LCM of 220,2487
Given numbers has no common factors except 1. So, there LCM is their product i.e 547140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/547140
Therefore, the GCF of Fractions 8841/220,5863/2487 is 1/547140
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 220,2487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,2487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,2487) x common factors =1 x 1 = 1
LCM(220,2487) = ( 220 × 2487 ) / 1
LCM(220,2487) = 547140 / 1
LCM(220,2487) = 547140
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 8841/220, 5863/2487?
Answer: GCF of Numerators as per given numbers 8841/220, 5863/2487 is
GCF of Numerators i.e. for 8841,5863 is 1
LCM of denominators i.e. for 220,2487 is 547140.
Thus, GCF of Fractions is 1/547140.Finally, GCF of Fractions for 8841/220, 5863/2487 is 1/547140.