Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6019/298,9394/4842
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 6019,9394
Greatest Common Factor of Numerators i.e. GCF of 6019,9394 is 1 .
LCM of Denominators means LCM of 298,4842 as per the given fractions.
LCM of 298,4842 is 721458 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6019,9394
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6019
List of positive integer factors of 6019 that divides 6019 without a remainder.
1,13,463,6019
Factors of 9394
List of positive integer factors of 9394 that divides 9394 without a remainder.
1,2,7,11,14,22,61,77,122,154,427,671,854,1342,4697,9394
Greatest Common Factor
We found the factors 6019,9394 . The biggest common factor number is the GCF number.
So the greatest common factor 6019,9394 is 1.
Lets's calculate LCM of 298,4842
2 | 298, 4842 |
149, 2421 |
∴ So the LCM of the given numbers is 2 x 149 x 2421 = 721458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/721458
Therefore, the GCF of Fractions 6019/298,9394/4842 is 1/721458
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 298,4842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,4842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,4842) x common factors =2 x 1 = 2
LCM(298,4842) = ( 298 × 4842 ) / 2
LCM(298,4842) = 1442916 / 2
LCM(298,4842) = 721458
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 6019/298, 9394/4842?
Answer: GCF of Numerators as per given numbers 6019/298, 9394/4842 is
GCF of Numerators i.e. for 6019,9394 is 1
LCM of denominators i.e. for 298,4842 is 721458.
Thus, GCF of Fractions is 1/721458.Finally, GCF of Fractions for 6019/298, 9394/4842 is 1/721458.