Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2155/965,4163/866
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 2155,4163
Greatest Common Factor of Numerators i.e. GCF of 2155,4163 is 1 .
LCM of Denominators means LCM of 965,866 as per the given fractions.
LCM of 965,866 is 835690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2155,4163
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2155
List of positive integer factors of 2155 that divides 2155 without a remainder.
1,5,431,2155
Factors of 4163
List of positive integer factors of 4163 that divides 4163 without a remainder.
1,23,181,4163
Greatest Common Factor
We found the factors 2155,4163 . The biggest common factor number is the GCF number.
So the greatest common factor 2155,4163 is 1.
Lets's calculate LCM of 965,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 835690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/835690
Therefore, the GCF of Fractions 2155/965,4163/866 is 1/835690
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 965,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,866) x common factors =1 x 1 = 1
LCM(965,866) = ( 965 × 866 ) / 1
LCM(965,866) = 835690 / 1
LCM(965,866) = 835690
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 2155/965, 4163/866?
Answer: GCF of Numerators as per given numbers 2155/965, 4163/866 is
GCF of Numerators i.e. for 2155,4163 is 1
LCM of denominators i.e. for 965,866 is 835690.
Thus, GCF of Fractions is 1/835690.Finally, GCF of Fractions for 2155/965, 4163/866 is 1/835690.