Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8990/910,5963/229
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 8990,5963
Greatest Common Factor of Numerators i.e. GCF of 8990,5963 is 1 .
LCM of Denominators means LCM of 910,229 as per the given fractions.
LCM of 910,229 is 208390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8990,5963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8990
List of positive integer factors of 8990 that divides 8990 without a remainder.
1,2,5,10,29,31,58,62,145,155,290,310,899,1798,4495,8990
Factors of 5963
List of positive integer factors of 5963 that divides 5963 without a remainder.
1,67,89,5963
Greatest Common Factor
We found the factors 8990,5963 . The biggest common factor number is the GCF number.
So the greatest common factor 8990,5963 is 1.
Lets's calculate LCM of 910,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 208390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208390
Therefore, the GCF of Fractions 8990/910,5963/229 is 1/208390
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 910,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(910,229) x common factors =1 x 1 = 1
LCM(910,229) = ( 910 × 229 ) / 1
LCM(910,229) = 208390 / 1
LCM(910,229) = 208390
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 8990/910, 5963/229?
Answer: GCF of Numerators as per given numbers 8990/910, 5963/229 is
GCF of Numerators i.e. for 8990,5963 is 1
LCM of denominators i.e. for 910,229 is 208390.
Thus, GCF of Fractions is 1/208390.Finally, GCF of Fractions for 8990/910, 5963/229 is 1/208390.