Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6818/473,1886/8124
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 6818,1886
Greatest Common Factor of Numerators i.e. GCF of 6818,1886 is 2 .
LCM of Denominators means LCM of 473,8124 as per the given fractions.
LCM of 473,8124 is 3842652 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6818,1886
2 | 6818, 1886 |
3409, 943 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6818
List of positive integer factors of 6818 that divides 6818 without a remainder.
1,2,7,14,487,974,3409,6818
Factors of 1886
List of positive integer factors of 1886 that divides 1886 without a remainder.
1,2,23,41,46,82,943,1886
Greatest Common Factor
We found the factors 6818,1886 . The biggest common factor number is the GCF number.
So the greatest common factor 6818,1886 is 2.
Lets's calculate LCM of 473,8124
Given numbers has no common factors except 1. So, there LCM is their product i.e 3842652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3842652
Therefore, the GCF of Fractions 6818/473,1886/8124 is 2/3842652
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 473,8124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,8124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,8124) x common factors =1 x 1 = 1
LCM(473,8124) = ( 473 × 8124 ) / 1
LCM(473,8124) = 3842652 / 1
LCM(473,8124) = 3842652
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 6818/473, 1886/8124?
Answer: GCF of Numerators as per given numbers 6818/473, 1886/8124 is
GCF of Numerators i.e. for 6818,1886 is 2
LCM of denominators i.e. for 473,8124 is 3842652.
Thus, GCF of Fractions is 2/3842652.Finally, GCF of Fractions for 6818/473, 1886/8124 is 2/3842652.