Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5307/80,8466/161
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 5307,8466
Greatest Common Factor of Numerators i.e. GCF of 5307,8466 is 3 .
LCM of Denominators means LCM of 80,161 as per the given fractions.
LCM of 80,161 is 12880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5307,8466
3 | 5307, 8466 |
1769, 2822 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5307
List of positive integer factors of 5307 that divides 5307 without a remainder.
1,3,29,61,87,183,1769,5307
Factors of 8466
List of positive integer factors of 8466 that divides 8466 without a remainder.
1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466
Greatest Common Factor
We found the factors 5307,8466 . The biggest common factor number is the GCF number.
So the greatest common factor 5307,8466 is 3.
Lets's calculate LCM of 80,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 12880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12880
Therefore, the GCF of Fractions 5307/80,8466/161 is 3/12880
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 80,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,161) x common factors =1 x 1 = 1
LCM(80,161) = ( 80 × 161 ) / 1
LCM(80,161) = 12880 / 1
LCM(80,161) = 12880
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 5307/80, 8466/161?
Answer: GCF of Numerators as per given numbers 5307/80, 8466/161 is
GCF of Numerators i.e. for 5307,8466 is 3
LCM of denominators i.e. for 80,161 is 12880.
Thus, GCF of Fractions is 3/12880.Finally, GCF of Fractions for 5307/80, 8466/161 is 3/12880.