Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8729/16,2490/929
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 8729,2490
Greatest Common Factor of Numerators i.e. GCF of 8729,2490 is 1 .
LCM of Denominators means LCM of 16,929 as per the given fractions.
LCM of 16,929 is 14864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8729,2490
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8729
List of positive integer factors of 8729 that divides 8729 without a remainder.
1,7,29,43,203,301,1247,8729
Factors of 2490
List of positive integer factors of 2490 that divides 2490 without a remainder.
1,2,3,5,6,10,15,30,83,166,249,415,498,830,1245,2490
Greatest Common Factor
We found the factors 8729,2490 . The biggest common factor number is the GCF number.
So the greatest common factor 8729,2490 is 1.
Lets's calculate LCM of 16,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 14864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14864
Therefore, the GCF of Fractions 8729/16,2490/929 is 1/14864
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 16,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,929) x common factors =1 x 1 = 1
LCM(16,929) = ( 16 × 929 ) / 1
LCM(16,929) = 14864 / 1
LCM(16,929) = 14864
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 8729/16, 2490/929?
Answer: GCF of Numerators as per given numbers 8729/16, 2490/929 is
GCF of Numerators i.e. for 8729,2490 is 1
LCM of denominators i.e. for 16,929 is 14864.
Thus, GCF of Fractions is 1/14864.Finally, GCF of Fractions for 8729/16, 2490/929 is 1/14864.