Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 161/237,2959/6818
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 161,2959
Greatest Common Factor of Numerators i.e. GCF of 161,2959 is 1 .
LCM of Denominators means LCM of 237,6818 as per the given fractions.
LCM of 237,6818 is 1615866 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 161,2959
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 2959
List of positive integer factors of 2959 that divides 2959 without a remainder.
1,11,269,2959
Greatest Common Factor
We found the factors 161,2959 . The biggest common factor number is the GCF number.
So the greatest common factor 161,2959 is 1.
Lets's calculate LCM of 237,6818
Given numbers has no common factors except 1. So, there LCM is their product i.e 1615866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1615866
Therefore, the GCF of Fractions 161/237,2959/6818 is 1/1615866
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 237,6818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,6818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,6818) x common factors =1 x 1 = 1
LCM(237,6818) = ( 237 × 6818 ) / 1
LCM(237,6818) = 1615866 / 1
LCM(237,6818) = 1615866
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 161/237, 2959/6818?
Answer: GCF of Numerators as per given numbers 161/237, 2959/6818 is
GCF of Numerators i.e. for 161,2959 is 1
LCM of denominators i.e. for 237,6818 is 1615866.
Thus, GCF of Fractions is 1/1615866.Finally, GCF of Fractions for 161/237, 2959/6818 is 1/1615866.