Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4667/89,8327/439
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 4667,8327
Greatest Common Factor of Numerators i.e. GCF of 4667,8327 is 1 .
LCM of Denominators means LCM of 89,439 as per the given fractions.
LCM of 89,439 is 39071 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4667,8327
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4667
List of positive integer factors of 4667 that divides 4667 without a remainder.
1,13,359,4667
Factors of 8327
List of positive integer factors of 8327 that divides 8327 without a remainder.
1,11,757,8327
Greatest Common Factor
We found the factors 4667,8327 . The biggest common factor number is the GCF number.
So the greatest common factor 4667,8327 is 1.
Lets's calculate LCM of 89,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 39071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39071
Therefore, the GCF of Fractions 4667/89,8327/439 is 1/39071
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 89,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,439) x common factors =1 x 1 = 1
LCM(89,439) = ( 89 × 439 ) / 1
LCM(89,439) = 39071 / 1
LCM(89,439) = 39071
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 4667/89, 8327/439?
Answer: GCF of Numerators as per given numbers 4667/89, 8327/439 is
GCF of Numerators i.e. for 4667,8327 is 1
LCM of denominators i.e. for 89,439 is 39071.
Thus, GCF of Fractions is 1/39071.Finally, GCF of Fractions for 4667/89, 8327/439 is 1/39071.