Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8835/56,3831/710
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 8835,3831
Greatest Common Factor of Numerators i.e. GCF of 8835,3831 is 3 .
LCM of Denominators means LCM of 56,710 as per the given fractions.
LCM of 56,710 is 19880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8835,3831
3 | 8835, 3831 |
2945, 1277 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8835
List of positive integer factors of 8835 that divides 8835 without a remainder.
1,3,5,15,19,31,57,93,95,155,285,465,589,1767,2945,8835
Factors of 3831
List of positive integer factors of 3831 that divides 3831 without a remainder.
1,3,1277,3831
Greatest Common Factor
We found the factors 8835,3831 . The biggest common factor number is the GCF number.
So the greatest common factor 8835,3831 is 3.
Lets's calculate LCM of 56,710
2 | 56, 710 |
28, 355 |
∴ So the LCM of the given numbers is 2 x 28 x 355 = 19880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19880
Therefore, the GCF of Fractions 8835/56,3831/710 is 3/19880
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 56,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(56,710) x common factors =2 x 1 = 2
LCM(56,710) = ( 56 × 710 ) / 2
LCM(56,710) = 39760 / 2
LCM(56,710) = 19880
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 8835/56, 3831/710?
Answer: GCF of Numerators as per given numbers 8835/56, 3831/710 is
GCF of Numerators i.e. for 8835,3831 is 3
LCM of denominators i.e. for 56,710 is 19880.
Thus, GCF of Fractions is 3/19880.Finally, GCF of Fractions for 8835/56, 3831/710 is 3/19880.