Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 610/2058,105/5874
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 610,105
Greatest Common Factor of Numerators i.e. GCF of 610,105 is 5 .
LCM of Denominators means LCM of 2058,5874 as per the given fractions.
LCM of 2058,5874 is 2014782 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 610,105
5 | 610, 105 |
122, 21 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Greatest Common Factor
We found the factors 610,105 . The biggest common factor number is the GCF number.
So the greatest common factor 610,105 is 5.
Lets's calculate LCM of 2058,5874
2 | 2058, 5874 |
3 | 1029, 2937 |
343, 979 |
∴ So the LCM of the given numbers is 2 x 3 x 343 x 979 = 2014782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2014782
Therefore, the GCF of Fractions 610/2058,105/5874 is 5/2014782
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 2058,5874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2058,5874) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(2058,5874) x common factors =6 x 1 = 6
LCM(2058,5874) = ( 2058 × 5874 ) / 6
LCM(2058,5874) = 12088692 / 6
LCM(2058,5874) = 2014782
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 610/2058, 105/5874?
Answer: GCF of Numerators as per given numbers 610/2058, 105/5874 is
GCF of Numerators i.e. for 610,105 is 5
LCM of denominators i.e. for 2058,5874 is 2014782.
Thus, GCF of Fractions is 5/2014782.Finally, GCF of Fractions for 610/2058, 105/5874 is 5/2014782.