Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4167/835,2158/7966
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 4167,2158
Greatest Common Factor of Numerators i.e. GCF of 4167,2158 is 1 .
LCM of Denominators means LCM of 835,7966 as per the given fractions.
LCM of 835,7966 is 6651610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4167,2158
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4167
List of positive integer factors of 4167 that divides 4167 without a remainder.
1,3,9,463,1389,4167
Factors of 2158
List of positive integer factors of 2158 that divides 2158 without a remainder.
1,2,13,26,83,166,1079,2158
Greatest Common Factor
We found the factors 4167,2158 . The biggest common factor number is the GCF number.
So the greatest common factor 4167,2158 is 1.
Lets's calculate LCM of 835,7966
Given numbers has no common factors except 1. So, there LCM is their product i.e 6651610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6651610
Therefore, the GCF of Fractions 4167/835,2158/7966 is 1/6651610
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 835,7966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,7966) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,7966) x common factors =1 x 1 = 1
LCM(835,7966) = ( 835 × 7966 ) / 1
LCM(835,7966) = 6651610 / 1
LCM(835,7966) = 6651610
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 4167/835, 2158/7966?
Answer: GCF of Numerators as per given numbers 4167/835, 2158/7966 is
GCF of Numerators i.e. for 4167,2158 is 1
LCM of denominators i.e. for 835,7966 is 6651610.
Thus, GCF of Fractions is 1/6651610.Finally, GCF of Fractions for 4167/835, 2158/7966 is 1/6651610.