Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 613/34,7872/491
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 613,7872
Greatest Common Factor of Numerators i.e. GCF of 613,7872 is 1 .
LCM of Denominators means LCM of 34,491 as per the given fractions.
LCM of 34,491 is 16694 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 613,7872
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Factors of 7872
List of positive integer factors of 7872 that divides 7872 without a remainder.
1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872
Greatest Common Factor
We found the factors 613,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 613,7872 is 1.
Lets's calculate LCM of 34,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 16694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16694
Therefore, the GCF of Fractions 613/34,7872/491 is 1/16694
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 34,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,491) x common factors =1 x 1 = 1
LCM(34,491) = ( 34 × 491 ) / 1
LCM(34,491) = 16694 / 1
LCM(34,491) = 16694
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 613/34, 7872/491?
Answer: GCF of Numerators as per given numbers 613/34, 7872/491 is
GCF of Numerators i.e. for 613,7872 is 1
LCM of denominators i.e. for 34,491 is 16694.
Thus, GCF of Fractions is 1/16694.Finally, GCF of Fractions for 613/34, 7872/491 is 1/16694.