Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8854/718,8136/5393
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 8854,8136
Greatest Common Factor of Numerators i.e. GCF of 8854,8136 is 2 .
LCM of Denominators means LCM of 718,5393 as per the given fractions.
LCM of 718,5393 is 3872174 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8854,8136
2 | 8854, 8136 |
4427, 4068 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8854
List of positive integer factors of 8854 that divides 8854 without a remainder.
1,2,19,38,233,466,4427,8854
Factors of 8136
List of positive integer factors of 8136 that divides 8136 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136
Greatest Common Factor
We found the factors 8854,8136 . The biggest common factor number is the GCF number.
So the greatest common factor 8854,8136 is 2.
Lets's calculate LCM of 718,5393
Given numbers has no common factors except 1. So, there LCM is their product i.e 3872174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3872174
Therefore, the GCF of Fractions 8854/718,8136/5393 is 2/3872174
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 718,5393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,5393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(718,5393) x common factors =1 x 1 = 1
LCM(718,5393) = ( 718 × 5393 ) / 1
LCM(718,5393) = 3872174 / 1
LCM(718,5393) = 3872174
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 8854/718, 8136/5393?
Answer: GCF of Numerators as per given numbers 8854/718, 8136/5393 is
GCF of Numerators i.e. for 8854,8136 is 2
LCM of denominators i.e. for 718,5393 is 3872174.
Thus, GCF of Fractions is 2/3872174.Finally, GCF of Fractions for 8854/718, 8136/5393 is 2/3872174.