Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8158/827,7494/3114
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 8158,7494
Greatest Common Factor of Numerators i.e. GCF of 8158,7494 is 2 .
LCM of Denominators means LCM of 827,3114 as per the given fractions.
LCM of 827,3114 is 2575278 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8158,7494
2 | 8158, 7494 |
4079, 3747 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8158
List of positive integer factors of 8158 that divides 8158 without a remainder.
1,2,4079,8158
Factors of 7494
List of positive integer factors of 7494 that divides 7494 without a remainder.
1,2,3,6,1249,2498,3747,7494
Greatest Common Factor
We found the factors 8158,7494 . The biggest common factor number is the GCF number.
So the greatest common factor 8158,7494 is 2.
Lets's calculate LCM of 827,3114
Given numbers has no common factors except 1. So, there LCM is their product i.e 2575278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2575278
Therefore, the GCF of Fractions 8158/827,7494/3114 is 2/2575278
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 827,3114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,3114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,3114) x common factors =1 x 1 = 1
LCM(827,3114) = ( 827 × 3114 ) / 1
LCM(827,3114) = 2575278 / 1
LCM(827,3114) = 2575278
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 8158/827, 7494/3114?
Answer: GCF of Numerators as per given numbers 8158/827, 7494/3114 is
GCF of Numerators i.e. for 8158,7494 is 2
LCM of denominators i.e. for 827,3114 is 2575278.
Thus, GCF of Fractions is 2/2575278.Finally, GCF of Fractions for 8158/827, 7494/3114 is 2/2575278.