Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8301/305,1094/403
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 8301,1094
Greatest Common Factor of Numerators i.e. GCF of 8301,1094 is 1 .
LCM of Denominators means LCM of 305,403 as per the given fractions.
LCM of 305,403 is 122915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8301,1094
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8301
List of positive integer factors of 8301 that divides 8301 without a remainder.
1,3,2767,8301
Factors of 1094
List of positive integer factors of 1094 that divides 1094 without a remainder.
1,2,547,1094
Greatest Common Factor
We found the factors 8301,1094 . The biggest common factor number is the GCF number.
So the greatest common factor 8301,1094 is 1.
Lets's calculate LCM of 305,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 122915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122915
Therefore, the GCF of Fractions 8301/305,1094/403 is 1/122915
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 305,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,403) x common factors =1 x 1 = 1
LCM(305,403) = ( 305 × 403 ) / 1
LCM(305,403) = 122915 / 1
LCM(305,403) = 122915
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 8301/305, 1094/403?
Answer: GCF of Numerators as per given numbers 8301/305, 1094/403 is
GCF of Numerators i.e. for 8301,1094 is 1
LCM of denominators i.e. for 305,403 is 122915.
Thus, GCF of Fractions is 1/122915.Finally, GCF of Fractions for 8301/305, 1094/403 is 1/122915.