Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6535/811,8916/5200
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 6535,8916
Greatest Common Factor of Numerators i.e. GCF of 6535,8916 is 1 .
LCM of Denominators means LCM of 811,5200 as per the given fractions.
LCM of 811,5200 is 4217200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6535,8916
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6535
List of positive integer factors of 6535 that divides 6535 without a remainder.
1,5,1307,6535
Factors of 8916
List of positive integer factors of 8916 that divides 8916 without a remainder.
1,2,3,4,6,12,743,1486,2229,2972,4458,8916
Greatest Common Factor
We found the factors 6535,8916 . The biggest common factor number is the GCF number.
So the greatest common factor 6535,8916 is 1.
Lets's calculate LCM of 811,5200
Given numbers has no common factors except 1. So, there LCM is their product i.e 4217200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4217200
Therefore, the GCF of Fractions 6535/811,8916/5200 is 1/4217200
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 811,5200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,5200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,5200) x common factors =1 x 1 = 1
LCM(811,5200) = ( 811 × 5200 ) / 1
LCM(811,5200) = 4217200 / 1
LCM(811,5200) = 4217200
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 6535/811, 8916/5200?
Answer: GCF of Numerators as per given numbers 6535/811, 8916/5200 is
GCF of Numerators i.e. for 6535,8916 is 1
LCM of denominators i.e. for 811,5200 is 4217200.
Thus, GCF of Fractions is 1/4217200.Finally, GCF of Fractions for 6535/811, 8916/5200 is 1/4217200.