Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2721/291,7724/8161
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 2721,7724
Greatest Common Factor of Numerators i.e. GCF of 2721,7724 is 1 .
LCM of Denominators means LCM of 291,8161 as per the given fractions.
LCM of 291,8161 is 2374851 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2721,7724
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2721
List of positive integer factors of 2721 that divides 2721 without a remainder.
1,3,907,2721
Factors of 7724
List of positive integer factors of 7724 that divides 7724 without a remainder.
1,2,4,1931,3862,7724
Greatest Common Factor
We found the factors 2721,7724 . The biggest common factor number is the GCF number.
So the greatest common factor 2721,7724 is 1.
Lets's calculate LCM of 291,8161
Given numbers has no common factors except 1. So, there LCM is their product i.e 2374851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2374851
Therefore, the GCF of Fractions 2721/291,7724/8161 is 1/2374851
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 291,8161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,8161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,8161) x common factors =1 x 1 = 1
LCM(291,8161) = ( 291 × 8161 ) / 1
LCM(291,8161) = 2374851 / 1
LCM(291,8161) = 2374851
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 2721/291, 7724/8161?
Answer: GCF of Numerators as per given numbers 2721/291, 7724/8161 is
GCF of Numerators i.e. for 2721,7724 is 1
LCM of denominators i.e. for 291,8161 is 2374851.
Thus, GCF of Fractions is 1/2374851.Finally, GCF of Fractions for 2721/291, 7724/8161 is 1/2374851.