Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 159/8729,466/1285
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 159,466
Greatest Common Factor of Numerators i.e. GCF of 159,466 is 1 .
LCM of Denominators means LCM of 8729,1285 as per the given fractions.
LCM of 8729,1285 is 11216765 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 159,466
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Greatest Common Factor
We found the factors 159,466 . The biggest common factor number is the GCF number.
So the greatest common factor 159,466 is 1.
Lets's calculate LCM of 8729,1285
Given numbers has no common factors except 1. So, there LCM is their product i.e 11216765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11216765
Therefore, the GCF of Fractions 159/8729,466/1285 is 1/11216765
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 8729,1285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8729,1285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8729,1285) x common factors =1 x 1 = 1
LCM(8729,1285) = ( 8729 × 1285 ) / 1
LCM(8729,1285) = 11216765 / 1
LCM(8729,1285) = 11216765
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 159/8729, 466/1285?
Answer: GCF of Numerators as per given numbers 159/8729, 466/1285 is
GCF of Numerators i.e. for 159,466 is 1
LCM of denominators i.e. for 8729,1285 is 11216765.
Thus, GCF of Fractions is 1/11216765.Finally, GCF of Fractions for 159/8729, 466/1285 is 1/11216765.