Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8596/716,3897/6011
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 8596,3897
Greatest Common Factor of Numerators i.e. GCF of 8596,3897 is 1 .
LCM of Denominators means LCM of 716,6011 as per the given fractions.
LCM of 716,6011 is 4303876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8596,3897
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8596
List of positive integer factors of 8596 that divides 8596 without a remainder.
1,2,4,7,14,28,307,614,1228,2149,4298,8596
Factors of 3897
List of positive integer factors of 3897 that divides 3897 without a remainder.
1,3,9,433,1299,3897
Greatest Common Factor
We found the factors 8596,3897 . The biggest common factor number is the GCF number.
So the greatest common factor 8596,3897 is 1.
Lets's calculate LCM of 716,6011
Given numbers has no common factors except 1. So, there LCM is their product i.e 4303876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4303876
Therefore, the GCF of Fractions 8596/716,3897/6011 is 1/4303876
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 716,6011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,6011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(716,6011) x common factors =1 x 1 = 1
LCM(716,6011) = ( 716 × 6011 ) / 1
LCM(716,6011) = 4303876 / 1
LCM(716,6011) = 4303876
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 8596/716, 3897/6011?
Answer: GCF of Numerators as per given numbers 8596/716, 3897/6011 is
GCF of Numerators i.e. for 8596,3897 is 1
LCM of denominators i.e. for 716,6011 is 4303876.
Thus, GCF of Fractions is 1/4303876.Finally, GCF of Fractions for 8596/716, 3897/6011 is 1/4303876.