Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2568/52,3597/558
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 2568,3597
Greatest Common Factor of Numerators i.e. GCF of 2568,3597 is 3 .
LCM of Denominators means LCM of 52,558 as per the given fractions.
LCM of 52,558 is 14508 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2568,3597
3 | 2568, 3597 |
856, 1199 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2568
List of positive integer factors of 2568 that divides 2568 without a remainder.
1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568
Factors of 3597
List of positive integer factors of 3597 that divides 3597 without a remainder.
1,3,11,33,109,327,1199,3597
Greatest Common Factor
We found the factors 2568,3597 . The biggest common factor number is the GCF number.
So the greatest common factor 2568,3597 is 3.
Lets's calculate LCM of 52,558
2 | 52, 558 |
26, 279 |
∴ So the LCM of the given numbers is 2 x 26 x 279 = 14508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14508
Therefore, the GCF of Fractions 2568/52,3597/558 is 3/14508
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 52,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(52,558) x common factors =2 x 1 = 2
LCM(52,558) = ( 52 × 558 ) / 2
LCM(52,558) = 29016 / 2
LCM(52,558) = 14508
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 2568/52, 3597/558?
Answer: GCF of Numerators as per given numbers 2568/52, 3597/558 is
GCF of Numerators i.e. for 2568,3597 is 3
LCM of denominators i.e. for 52,558 is 14508.
Thus, GCF of Fractions is 3/14508.Finally, GCF of Fractions for 2568/52, 3597/558 is 3/14508.