Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1158/441,8159/7093
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 1158,8159
Greatest Common Factor of Numerators i.e. GCF of 1158,8159 is 1 .
LCM of Denominators means LCM of 441,7093 as per the given fractions.
LCM of 441,7093 is 3128013 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1158,8159
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1158
List of positive integer factors of 1158 that divides 1158 without a remainder.
1,2,3,6,193,386,579,1158
Factors of 8159
List of positive integer factors of 8159 that divides 8159 without a remainder.
1,41,199,8159
Greatest Common Factor
We found the factors 1158,8159 . The biggest common factor number is the GCF number.
So the greatest common factor 1158,8159 is 1.
Lets's calculate LCM of 441,7093
Given numbers has no common factors except 1. So, there LCM is their product i.e 3128013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3128013
Therefore, the GCF of Fractions 1158/441,8159/7093 is 1/3128013
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 441,7093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,7093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,7093) x common factors =1 x 1 = 1
LCM(441,7093) = ( 441 × 7093 ) / 1
LCM(441,7093) = 3128013 / 1
LCM(441,7093) = 3128013
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 1158/441, 8159/7093?
Answer: GCF of Numerators as per given numbers 1158/441, 8159/7093 is
GCF of Numerators i.e. for 1158,8159 is 1
LCM of denominators i.e. for 441,7093 is 3128013.
Thus, GCF of Fractions is 1/3128013.Finally, GCF of Fractions for 1158/441, 8159/7093 is 1/3128013.