Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4718/472,6378/2873
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 4718,6378
Greatest Common Factor of Numerators i.e. GCF of 4718,6378 is 2 .
LCM of Denominators means LCM of 472,2873 as per the given fractions.
LCM of 472,2873 is 1356056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4718,6378
2 | 4718, 6378 |
2359, 3189 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4718
List of positive integer factors of 4718 that divides 4718 without a remainder.
1,2,7,14,337,674,2359,4718
Factors of 6378
List of positive integer factors of 6378 that divides 6378 without a remainder.
1,2,3,6,1063,2126,3189,6378
Greatest Common Factor
We found the factors 4718,6378 . The biggest common factor number is the GCF number.
So the greatest common factor 4718,6378 is 2.
Lets's calculate LCM of 472,2873
Given numbers has no common factors except 1. So, there LCM is their product i.e 1356056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1356056
Therefore, the GCF of Fractions 4718/472,6378/2873 is 2/1356056
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 472,2873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,2873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,2873) x common factors =1 x 1 = 1
LCM(472,2873) = ( 472 × 2873 ) / 1
LCM(472,2873) = 1356056 / 1
LCM(472,2873) = 1356056
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 4718/472, 6378/2873?
Answer: GCF of Numerators as per given numbers 4718/472, 6378/2873 is
GCF of Numerators i.e. for 4718,6378 is 2
LCM of denominators i.e. for 472,2873 is 1356056.
Thus, GCF of Fractions is 2/1356056.Finally, GCF of Fractions for 4718/472, 6378/2873 is 2/1356056.