Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4105/813,6942/5423
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 4105,6942
Greatest Common Factor of Numerators i.e. GCF of 4105,6942 is 1 .
LCM of Denominators means LCM of 813,5423 as per the given fractions.
LCM of 813,5423 is 4408899 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4105,6942
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4105
List of positive integer factors of 4105 that divides 4105 without a remainder.
1,5,821,4105
Factors of 6942
List of positive integer factors of 6942 that divides 6942 without a remainder.
1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942
Greatest Common Factor
We found the factors 4105,6942 . The biggest common factor number is the GCF number.
So the greatest common factor 4105,6942 is 1.
Lets's calculate LCM of 813,5423
Given numbers has no common factors except 1. So, there LCM is their product i.e 4408899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4408899
Therefore, the GCF of Fractions 4105/813,6942/5423 is 1/4408899
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 813,5423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,5423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,5423) x common factors =1 x 1 = 1
LCM(813,5423) = ( 813 × 5423 ) / 1
LCM(813,5423) = 4408899 / 1
LCM(813,5423) = 4408899
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 4105/813, 6942/5423?
Answer: GCF of Numerators as per given numbers 4105/813, 6942/5423 is
GCF of Numerators i.e. for 4105,6942 is 1
LCM of denominators i.e. for 813,5423 is 4408899.
Thus, GCF of Fractions is 1/4408899.Finally, GCF of Fractions for 4105/813, 6942/5423 is 1/4408899.