Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8591/270,7476/8033
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 8591,7476
Greatest Common Factor of Numerators i.e. GCF of 8591,7476 is 1 .
LCM of Denominators means LCM of 270,8033 as per the given fractions.
LCM of 270,8033 is 2168910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8591,7476
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8591
List of positive integer factors of 8591 that divides 8591 without a remainder.
1,11,71,121,781,8591
Factors of 7476
List of positive integer factors of 7476 that divides 7476 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476
Greatest Common Factor
We found the factors 8591,7476 . The biggest common factor number is the GCF number.
So the greatest common factor 8591,7476 is 1.
Lets's calculate LCM of 270,8033
Given numbers has no common factors except 1. So, there LCM is their product i.e 2168910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2168910
Therefore, the GCF of Fractions 8591/270,7476/8033 is 1/2168910
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 270,8033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,8033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(270,8033) x common factors =1 x 1 = 1
LCM(270,8033) = ( 270 × 8033 ) / 1
LCM(270,8033) = 2168910 / 1
LCM(270,8033) = 2168910
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 8591/270, 7476/8033?
Answer: GCF of Numerators as per given numbers 8591/270, 7476/8033 is
GCF of Numerators i.e. for 8591,7476 is 1
LCM of denominators i.e. for 270,8033 is 2168910.
Thus, GCF of Fractions is 1/2168910.Finally, GCF of Fractions for 8591/270, 7476/8033 is 1/2168910.