Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8166/47,5867/990
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 8166,5867
Greatest Common Factor of Numerators i.e. GCF of 8166,5867 is 1 .
LCM of Denominators means LCM of 47,990 as per the given fractions.
LCM of 47,990 is 46530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8166,5867
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8166
List of positive integer factors of 8166 that divides 8166 without a remainder.
1,2,3,6,1361,2722,4083,8166
Factors of 5867
List of positive integer factors of 5867 that divides 5867 without a remainder.
1,5867
Greatest Common Factor
We found the factors 8166,5867 . The biggest common factor number is the GCF number.
So the greatest common factor 8166,5867 is 1.
Lets's calculate LCM of 47,990
Given numbers has no common factors except 1. So, there LCM is their product i.e 46530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46530
Therefore, the GCF of Fractions 8166/47,5867/990 is 1/46530
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 47,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,990) x common factors =1 x 1 = 1
LCM(47,990) = ( 47 × 990 ) / 1
LCM(47,990) = 46530 / 1
LCM(47,990) = 46530
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 8166/47, 5867/990?
Answer: GCF of Numerators as per given numbers 8166/47, 5867/990 is
GCF of Numerators i.e. for 8166,5867 is 1
LCM of denominators i.e. for 47,990 is 46530.
Thus, GCF of Fractions is 1/46530.Finally, GCF of Fractions for 8166/47, 5867/990 is 1/46530.