Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 235/348,6142/723
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 235,6142
Greatest Common Factor of Numerators i.e. GCF of 235,6142 is 1 .
LCM of Denominators means LCM of 348,723 as per the given fractions.
LCM of 348,723 is 83868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 235,6142
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Factors of 6142
List of positive integer factors of 6142 that divides 6142 without a remainder.
1,2,37,74,83,166,3071,6142
Greatest Common Factor
We found the factors 235,6142 . The biggest common factor number is the GCF number.
So the greatest common factor 235,6142 is 1.
Lets's calculate LCM of 348,723
3 | 348, 723 |
116, 241 |
∴ So the LCM of the given numbers is 3 x 116 x 241 = 83868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83868
Therefore, the GCF of Fractions 235/348,6142/723 is 1/83868
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 348,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,723) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(348,723) x common factors =3 x 1 = 3
LCM(348,723) = ( 348 × 723 ) / 3
LCM(348,723) = 251604 / 3
LCM(348,723) = 83868
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 235/348, 6142/723?
Answer: GCF of Numerators as per given numbers 235/348, 6142/723 is
GCF of Numerators i.e. for 235,6142 is 1
LCM of denominators i.e. for 348,723 is 83868.
Thus, GCF of Fractions is 1/83868.Finally, GCF of Fractions for 235/348, 6142/723 is 1/83868.