Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9493/873,6519/9692
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 9493,6519
Greatest Common Factor of Numerators i.e. GCF of 9493,6519 is 1 .
LCM of Denominators means LCM of 873,9692 as per the given fractions.
LCM of 873,9692 is 8461116 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9493,6519
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9493
List of positive integer factors of 9493 that divides 9493 without a remainder.
1,11,863,9493
Factors of 6519
List of positive integer factors of 6519 that divides 6519 without a remainder.
1,3,41,53,123,159,2173,6519
Greatest Common Factor
We found the factors 9493,6519 . The biggest common factor number is the GCF number.
So the greatest common factor 9493,6519 is 1.
Lets's calculate LCM of 873,9692
Given numbers has no common factors except 1. So, there LCM is their product i.e 8461116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8461116
Therefore, the GCF of Fractions 9493/873,6519/9692 is 1/8461116
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 873,9692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,9692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,9692) x common factors =1 x 1 = 1
LCM(873,9692) = ( 873 × 9692 ) / 1
LCM(873,9692) = 8461116 / 1
LCM(873,9692) = 8461116
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 9493/873, 6519/9692?
Answer: GCF of Numerators as per given numbers 9493/873, 6519/9692 is
GCF of Numerators i.e. for 9493,6519 is 1
LCM of denominators i.e. for 873,9692 is 8461116.
Thus, GCF of Fractions is 1/8461116.Finally, GCF of Fractions for 9493/873, 6519/9692 is 1/8461116.