Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8089/313,8838/492
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 8089,8838
Greatest Common Factor of Numerators i.e. GCF of 8089,8838 is 1 .
LCM of Denominators means LCM of 313,492 as per the given fractions.
LCM of 313,492 is 153996 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8089,8838
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8089
List of positive integer factors of 8089 that divides 8089 without a remainder.
1,8089
Factors of 8838
List of positive integer factors of 8838 that divides 8838 without a remainder.
1,2,3,6,9,18,491,982,1473,2946,4419,8838
Greatest Common Factor
We found the factors 8089,8838 . The biggest common factor number is the GCF number.
So the greatest common factor 8089,8838 is 1.
Lets's calculate LCM of 313,492
Given numbers has no common factors except 1. So, there LCM is their product i.e 153996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153996
Therefore, the GCF of Fractions 8089/313,8838/492 is 1/153996
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 313,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,492) x common factors =1 x 1 = 1
LCM(313,492) = ( 313 × 492 ) / 1
LCM(313,492) = 153996 / 1
LCM(313,492) = 153996
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 8089/313, 8838/492?
Answer: GCF of Numerators as per given numbers 8089/313, 8838/492 is
GCF of Numerators i.e. for 8089,8838 is 1
LCM of denominators i.e. for 313,492 is 153996.
Thus, GCF of Fractions is 1/153996.Finally, GCF of Fractions for 8089/313, 8838/492 is 1/153996.