Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8570/599,1478/3726
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 8570,1478
Greatest Common Factor of Numerators i.e. GCF of 8570,1478 is 2 .
LCM of Denominators means LCM of 599,3726 as per the given fractions.
LCM of 599,3726 is 2231874 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8570,1478
2 | 8570, 1478 |
4285, 739 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8570
List of positive integer factors of 8570 that divides 8570 without a remainder.
1,2,5,10,857,1714,4285,8570
Factors of 1478
List of positive integer factors of 1478 that divides 1478 without a remainder.
1,2,739,1478
Greatest Common Factor
We found the factors 8570,1478 . The biggest common factor number is the GCF number.
So the greatest common factor 8570,1478 is 2.
Lets's calculate LCM of 599,3726
Given numbers has no common factors except 1. So, there LCM is their product i.e 2231874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2231874
Therefore, the GCF of Fractions 8570/599,1478/3726 is 2/2231874
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 599,3726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,3726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,3726) x common factors =1 x 1 = 1
LCM(599,3726) = ( 599 × 3726 ) / 1
LCM(599,3726) = 2231874 / 1
LCM(599,3726) = 2231874
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 8570/599, 1478/3726?
Answer: GCF of Numerators as per given numbers 8570/599, 1478/3726 is
GCF of Numerators i.e. for 8570,1478 is 2
LCM of denominators i.e. for 599,3726 is 2231874.
Thus, GCF of Fractions is 2/2231874.Finally, GCF of Fractions for 8570/599, 1478/3726 is 2/2231874.