Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8038/839,9882/4296
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 8038,9882
Greatest Common Factor of Numerators i.e. GCF of 8038,9882 is 2 .
LCM of Denominators means LCM of 839,4296 as per the given fractions.
LCM of 839,4296 is 3604344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8038,9882
2 | 8038, 9882 |
4019, 4941 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8038
List of positive integer factors of 8038 that divides 8038 without a remainder.
1,2,4019,8038
Factors of 9882
List of positive integer factors of 9882 that divides 9882 without a remainder.
1,2,3,6,9,18,27,54,61,81,122,162,183,366,549,1098,1647,3294,4941,9882
Greatest Common Factor
We found the factors 8038,9882 . The biggest common factor number is the GCF number.
So the greatest common factor 8038,9882 is 2.
Lets's calculate LCM of 839,4296
Given numbers has no common factors except 1. So, there LCM is their product i.e 3604344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3604344
Therefore, the GCF of Fractions 8038/839,9882/4296 is 2/3604344
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 839,4296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,4296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,4296) x common factors =1 x 1 = 1
LCM(839,4296) = ( 839 × 4296 ) / 1
LCM(839,4296) = 3604344 / 1
LCM(839,4296) = 3604344
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 8038/839, 9882/4296?
Answer: GCF of Numerators as per given numbers 8038/839, 9882/4296 is
GCF of Numerators i.e. for 8038,9882 is 2
LCM of denominators i.e. for 839,4296 is 3604344.
Thus, GCF of Fractions is 2/3604344.Finally, GCF of Fractions for 8038/839, 9882/4296 is 2/3604344.