Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4671/365,9686/6071
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 4671,9686
Greatest Common Factor of Numerators i.e. GCF of 4671,9686 is 1 .
LCM of Denominators means LCM of 365,6071 as per the given fractions.
LCM of 365,6071 is 2215915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4671,9686
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4671
List of positive integer factors of 4671 that divides 4671 without a remainder.
1,3,9,27,173,519,1557,4671
Factors of 9686
List of positive integer factors of 9686 that divides 9686 without a remainder.
1,2,29,58,167,334,4843,9686
Greatest Common Factor
We found the factors 4671,9686 . The biggest common factor number is the GCF number.
So the greatest common factor 4671,9686 is 1.
Lets's calculate LCM of 365,6071
Given numbers has no common factors except 1. So, there LCM is their product i.e 2215915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2215915
Therefore, the GCF of Fractions 4671/365,9686/6071 is 1/2215915
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 365,6071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,6071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,6071) x common factors =1 x 1 = 1
LCM(365,6071) = ( 365 × 6071 ) / 1
LCM(365,6071) = 2215915 / 1
LCM(365,6071) = 2215915
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 4671/365, 9686/6071?
Answer: GCF of Numerators as per given numbers 4671/365, 9686/6071 is
GCF of Numerators i.e. for 4671,9686 is 1
LCM of denominators i.e. for 365,6071 is 2215915.
Thus, GCF of Fractions is 1/2215915.Finally, GCF of Fractions for 4671/365, 9686/6071 is 1/2215915.