Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5361/991,4517/2903
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 5361,4517
Greatest Common Factor of Numerators i.e. GCF of 5361,4517 is 1 .
LCM of Denominators means LCM of 991,2903 as per the given fractions.
LCM of 991,2903 is 2876873 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5361,4517
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5361
List of positive integer factors of 5361 that divides 5361 without a remainder.
1,3,1787,5361
Factors of 4517
List of positive integer factors of 4517 that divides 4517 without a remainder.
1,4517
Greatest Common Factor
We found the factors 5361,4517 . The biggest common factor number is the GCF number.
So the greatest common factor 5361,4517 is 1.
Lets's calculate LCM of 991,2903
Given numbers has no common factors except 1. So, there LCM is their product i.e 2876873
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2876873
Therefore, the GCF of Fractions 5361/991,4517/2903 is 1/2876873
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 991,2903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,2903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,2903) x common factors =1 x 1 = 1
LCM(991,2903) = ( 991 × 2903 ) / 1
LCM(991,2903) = 2876873 / 1
LCM(991,2903) = 2876873
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 5361/991, 4517/2903?
Answer: GCF of Numerators as per given numbers 5361/991, 4517/2903 is
GCF of Numerators i.e. for 5361,4517 is 1
LCM of denominators i.e. for 991,2903 is 2876873.
Thus, GCF of Fractions is 1/2876873.Finally, GCF of Fractions for 5361/991, 4517/2903 is 1/2876873.