Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6832/557,5716/2915
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 6832,5716
Greatest Common Factor of Numerators i.e. GCF of 6832,5716 is 4 .
LCM of Denominators means LCM of 557,2915 as per the given fractions.
LCM of 557,2915 is 1623655 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6832,5716
2 | 6832, 5716 |
2 | 3416, 2858 |
1708, 1429 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6832
List of positive integer factors of 6832 that divides 6832 without a remainder.
1,2,4,7,8,14,16,28,56,61,112,122,244,427,488,854,976,1708,3416,6832
Factors of 5716
List of positive integer factors of 5716 that divides 5716 without a remainder.
1,2,4,1429,2858,5716
Greatest Common Factor
We found the factors 6832,5716 . The biggest common factor number is the GCF number.
So the greatest common factor 6832,5716 is 4.
Lets's calculate LCM of 557,2915
Given numbers has no common factors except 1. So, there LCM is their product i.e 1623655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1623655
Therefore, the GCF of Fractions 6832/557,5716/2915 is 4/1623655
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 557,2915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,2915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,2915) x common factors =1 x 1 = 1
LCM(557,2915) = ( 557 × 2915 ) / 1
LCM(557,2915) = 1623655 / 1
LCM(557,2915) = 1623655
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 6832/557, 5716/2915?
Answer: GCF of Numerators as per given numbers 6832/557, 5716/2915 is
GCF of Numerators i.e. for 6832,5716 is 4
LCM of denominators i.e. for 557,2915 is 1623655.
Thus, GCF of Fractions is 4/1623655.Finally, GCF of Fractions for 6832/557, 5716/2915 is 4/1623655.