Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 756/346,2041/582
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 756,2041
Greatest Common Factor of Numerators i.e. GCF of 756,2041 is 1 .
LCM of Denominators means LCM of 346,582 as per the given fractions.
LCM of 346,582 is 100686 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 756,2041
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 2041
List of positive integer factors of 2041 that divides 2041 without a remainder.
1,13,157,2041
Greatest Common Factor
We found the factors 756,2041 . The biggest common factor number is the GCF number.
So the greatest common factor 756,2041 is 1.
Lets's calculate LCM of 346,582
2 | 346, 582 |
173, 291 |
∴ So the LCM of the given numbers is 2 x 173 x 291 = 100686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100686
Therefore, the GCF of Fractions 756/346,2041/582 is 1/100686
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 346,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,582) x common factors =2 x 1 = 2
LCM(346,582) = ( 346 × 582 ) / 2
LCM(346,582) = 201372 / 2
LCM(346,582) = 100686
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 756/346, 2041/582?
Answer: GCF of Numerators as per given numbers 756/346, 2041/582 is
GCF of Numerators i.e. for 756,2041 is 1
LCM of denominators i.e. for 346,582 is 100686.
Thus, GCF of Fractions is 1/100686.Finally, GCF of Fractions for 756/346, 2041/582 is 1/100686.