Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3630/866,2329/5487
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 3630,2329
Greatest Common Factor of Numerators i.e. GCF of 3630,2329 is 1 .
LCM of Denominators means LCM of 866,5487 as per the given fractions.
LCM of 866,5487 is 4751742 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3630,2329
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3630
List of positive integer factors of 3630 that divides 3630 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,121,165,242,330,363,605,726,1210,1815,3630
Factors of 2329
List of positive integer factors of 2329 that divides 2329 without a remainder.
1,17,137,2329
Greatest Common Factor
We found the factors 3630,2329 . The biggest common factor number is the GCF number.
So the greatest common factor 3630,2329 is 1.
Lets's calculate LCM of 866,5487
Given numbers has no common factors except 1. So, there LCM is their product i.e 4751742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4751742
Therefore, the GCF of Fractions 3630/866,2329/5487 is 1/4751742
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 866,5487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,5487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,5487) x common factors =1 x 1 = 1
LCM(866,5487) = ( 866 × 5487 ) / 1
LCM(866,5487) = 4751742 / 1
LCM(866,5487) = 4751742
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 3630/866, 2329/5487?
Answer: GCF of Numerators as per given numbers 3630/866, 2329/5487 is
GCF of Numerators i.e. for 3630,2329 is 1
LCM of denominators i.e. for 866,5487 is 4751742.
Thus, GCF of Fractions is 1/4751742.Finally, GCF of Fractions for 3630/866, 2329/5487 is 1/4751742.