Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2876/389,3097/8821
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 2876,3097
Greatest Common Factor of Numerators i.e. GCF of 2876,3097 is 1 .
LCM of Denominators means LCM of 389,8821 as per the given fractions.
LCM of 389,8821 is 3431369 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2876,3097
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2876
List of positive integer factors of 2876 that divides 2876 without a remainder.
1,2,4,719,1438,2876
Factors of 3097
List of positive integer factors of 3097 that divides 3097 without a remainder.
1,19,163,3097
Greatest Common Factor
We found the factors 2876,3097 . The biggest common factor number is the GCF number.
So the greatest common factor 2876,3097 is 1.
Lets's calculate LCM of 389,8821
Given numbers has no common factors except 1. So, there LCM is their product i.e 3431369
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3431369
Therefore, the GCF of Fractions 2876/389,3097/8821 is 1/3431369
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 389,8821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,8821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,8821) x common factors =1 x 1 = 1
LCM(389,8821) = ( 389 × 8821 ) / 1
LCM(389,8821) = 3431369 / 1
LCM(389,8821) = 3431369
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 2876/389, 3097/8821?
Answer: GCF of Numerators as per given numbers 2876/389, 3097/8821 is
GCF of Numerators i.e. for 2876,3097 is 1
LCM of denominators i.e. for 389,8821 is 3431369.
Thus, GCF of Fractions is 1/3431369.Finally, GCF of Fractions for 2876/389, 3097/8821 is 1/3431369.