Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9132/661,2713/9316
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 9132,2713
Greatest Common Factor of Numerators i.e. GCF of 9132,2713 is 1 .
LCM of Denominators means LCM of 661,9316 as per the given fractions.
LCM of 661,9316 is 6157876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9132,2713
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9132
List of positive integer factors of 9132 that divides 9132 without a remainder.
1,2,3,4,6,12,761,1522,2283,3044,4566,9132
Factors of 2713
List of positive integer factors of 2713 that divides 2713 without a remainder.
1,2713
Greatest Common Factor
We found the factors 9132,2713 . The biggest common factor number is the GCF number.
So the greatest common factor 9132,2713 is 1.
Lets's calculate LCM of 661,9316
Given numbers has no common factors except 1. So, there LCM is their product i.e 6157876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6157876
Therefore, the GCF of Fractions 9132/661,2713/9316 is 1/6157876
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 661,9316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,9316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,9316) x common factors =1 x 1 = 1
LCM(661,9316) = ( 661 × 9316 ) / 1
LCM(661,9316) = 6157876 / 1
LCM(661,9316) = 6157876
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 9132/661, 2713/9316?
Answer: GCF of Numerators as per given numbers 9132/661, 2713/9316 is
GCF of Numerators i.e. for 9132,2713 is 1
LCM of denominators i.e. for 661,9316 is 6157876.
Thus, GCF of Fractions is 1/6157876.Finally, GCF of Fractions for 9132/661, 2713/9316 is 1/6157876.