Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2886/339,4968/5410
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 2886,4968
Greatest Common Factor of Numerators i.e. GCF of 2886,4968 is 6 .
LCM of Denominators means LCM of 339,5410 as per the given fractions.
LCM of 339,5410 is 1833990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2886,4968
2 | 2886, 4968 |
3 | 1443, 2484 |
481, 828 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 2886
List of positive integer factors of 2886 that divides 2886 without a remainder.
1,2,3,6,13,26,37,39,74,78,111,222,481,962,1443,2886
Factors of 4968
List of positive integer factors of 4968 that divides 4968 without a remainder.
1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968
Greatest Common Factor
We found the factors 2886,4968 . The biggest common factor number is the GCF number.
So the greatest common factor 2886,4968 is 6.
Lets's calculate LCM of 339,5410
Given numbers has no common factors except 1. So, there LCM is their product i.e 1833990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1833990
Therefore, the GCF of Fractions 2886/339,4968/5410 is 6/1833990
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 339,5410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,5410) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,5410) x common factors =1 x 1 = 1
LCM(339,5410) = ( 339 × 5410 ) / 1
LCM(339,5410) = 1833990 / 1
LCM(339,5410) = 1833990
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 2886/339, 4968/5410?
Answer: GCF of Numerators as per given numbers 2886/339, 4968/5410 is
GCF of Numerators i.e. for 2886,4968 is 6
LCM of denominators i.e. for 339,5410 is 1833990.
Thus, GCF of Fractions is 6/1833990.Finally, GCF of Fractions for 2886/339, 4968/5410 is 6/1833990.