Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8093/238,7159/6965
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 8093,7159
Greatest Common Factor of Numerators i.e. GCF of 8093,7159 is 1 .
LCM of Denominators means LCM of 238,6965 as per the given fractions.
LCM of 238,6965 is 236810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8093,7159
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8093
List of positive integer factors of 8093 that divides 8093 without a remainder.
1,8093
Factors of 7159
List of positive integer factors of 7159 that divides 7159 without a remainder.
1,7159
Greatest Common Factor
We found the factors 8093,7159 . The biggest common factor number is the GCF number.
So the greatest common factor 8093,7159 is 1.
Lets's calculate LCM of 238,6965
7 | 238, 6965 |
34, 995 |
∴ So the LCM of the given numbers is 7 x 34 x 995 = 236810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236810
Therefore, the GCF of Fractions 8093/238,7159/6965 is 1/236810
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 238,6965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,6965) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(238,6965) x common factors =7 x 1 = 7
LCM(238,6965) = ( 238 × 6965 ) / 7
LCM(238,6965) = 1657670 / 7
LCM(238,6965) = 236810
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 8093/238, 7159/6965?
Answer: GCF of Numerators as per given numbers 8093/238, 7159/6965 is
GCF of Numerators i.e. for 8093,7159 is 1
LCM of denominators i.e. for 238,6965 is 236810.
Thus, GCF of Fractions is 1/236810.Finally, GCF of Fractions for 8093/238, 7159/6965 is 1/236810.