Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9299/20,7699/811
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 9299,7699
Greatest Common Factor of Numerators i.e. GCF of 9299,7699 is 1 .
LCM of Denominators means LCM of 20,811 as per the given fractions.
LCM of 20,811 is 16220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9299,7699
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9299
List of positive integer factors of 9299 that divides 9299 without a remainder.
1,17,547,9299
Factors of 7699
List of positive integer factors of 7699 that divides 7699 without a remainder.
1,7699
Greatest Common Factor
We found the factors 9299,7699 . The biggest common factor number is the GCF number.
So the greatest common factor 9299,7699 is 1.
Lets's calculate LCM of 20,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 16220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16220
Therefore, the GCF of Fractions 9299/20,7699/811 is 1/16220
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 20,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,811) x common factors =1 x 1 = 1
LCM(20,811) = ( 20 × 811 ) / 1
LCM(20,811) = 16220 / 1
LCM(20,811) = 16220
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 9299/20, 7699/811?
Answer: GCF of Numerators as per given numbers 9299/20, 7699/811 is
GCF of Numerators i.e. for 9299,7699 is 1
LCM of denominators i.e. for 20,811 is 16220.
Thus, GCF of Fractions is 1/16220.Finally, GCF of Fractions for 9299/20, 7699/811 is 1/16220.