Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5038/891,7839/4819
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 5038,7839
Greatest Common Factor of Numerators i.e. GCF of 5038,7839 is 1 .
LCM of Denominators means LCM of 891,4819 as per the given fractions.
LCM of 891,4819 is 4293729 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5038,7839
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5038
List of positive integer factors of 5038 that divides 5038 without a remainder.
1,2,11,22,229,458,2519,5038
Factors of 7839
List of positive integer factors of 7839 that divides 7839 without a remainder.
1,3,9,13,39,67,117,201,603,871,2613,7839
Greatest Common Factor
We found the factors 5038,7839 . The biggest common factor number is the GCF number.
So the greatest common factor 5038,7839 is 1.
Lets's calculate LCM of 891,4819
Given numbers has no common factors except 1. So, there LCM is their product i.e 4293729
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4293729
Therefore, the GCF of Fractions 5038/891,7839/4819 is 1/4293729
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 891,4819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,4819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(891,4819) x common factors =1 x 1 = 1
LCM(891,4819) = ( 891 × 4819 ) / 1
LCM(891,4819) = 4293729 / 1
LCM(891,4819) = 4293729
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 5038/891, 7839/4819?
Answer: GCF of Numerators as per given numbers 5038/891, 7839/4819 is
GCF of Numerators i.e. for 5038,7839 is 1
LCM of denominators i.e. for 891,4819 is 4293729.
Thus, GCF of Fractions is 1/4293729.Finally, GCF of Fractions for 5038/891, 7839/4819 is 1/4293729.