Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5682/386,1186/4929
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 5682,1186
Greatest Common Factor of Numerators i.e. GCF of 5682,1186 is 2 .
LCM of Denominators means LCM of 386,4929 as per the given fractions.
LCM of 386,4929 is 1902594 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5682,1186
2 | 5682, 1186 |
2841, 593 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5682
List of positive integer factors of 5682 that divides 5682 without a remainder.
1,2,3,6,947,1894,2841,5682
Factors of 1186
List of positive integer factors of 1186 that divides 1186 without a remainder.
1,2,593,1186
Greatest Common Factor
We found the factors 5682,1186 . The biggest common factor number is the GCF number.
So the greatest common factor 5682,1186 is 2.
Lets's calculate LCM of 386,4929
Given numbers has no common factors except 1. So, there LCM is their product i.e 1902594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1902594
Therefore, the GCF of Fractions 5682/386,1186/4929 is 2/1902594
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 386,4929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,4929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,4929) x common factors =1 x 1 = 1
LCM(386,4929) = ( 386 × 4929 ) / 1
LCM(386,4929) = 1902594 / 1
LCM(386,4929) = 1902594
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 5682/386, 1186/4929?
Answer: GCF of Numerators as per given numbers 5682/386, 1186/4929 is
GCF of Numerators i.e. for 5682,1186 is 2
LCM of denominators i.e. for 386,4929 is 1902594.
Thus, GCF of Fractions is 2/1902594.Finally, GCF of Fractions for 5682/386, 1186/4929 is 2/1902594.