Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3334/271,8546/6415
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 3334,8546
Greatest Common Factor of Numerators i.e. GCF of 3334,8546 is 2 .
LCM of Denominators means LCM of 271,6415 as per the given fractions.
LCM of 271,6415 is 1738465 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3334,8546
2 | 3334, 8546 |
1667, 4273 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3334
List of positive integer factors of 3334 that divides 3334 without a remainder.
1,2,1667,3334
Factors of 8546
List of positive integer factors of 8546 that divides 8546 without a remainder.
1,2,4273,8546
Greatest Common Factor
We found the factors 3334,8546 . The biggest common factor number is the GCF number.
So the greatest common factor 3334,8546 is 2.
Lets's calculate LCM of 271,6415
Given numbers has no common factors except 1. So, there LCM is their product i.e 1738465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1738465
Therefore, the GCF of Fractions 3334/271,8546/6415 is 2/1738465
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 271,6415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,6415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,6415) x common factors =1 x 1 = 1
LCM(271,6415) = ( 271 × 6415 ) / 1
LCM(271,6415) = 1738465 / 1
LCM(271,6415) = 1738465
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 3334/271, 8546/6415?
Answer: GCF of Numerators as per given numbers 3334/271, 8546/6415 is
GCF of Numerators i.e. for 3334,8546 is 2
LCM of denominators i.e. for 271,6415 is 1738465.
Thus, GCF of Fractions is 2/1738465.Finally, GCF of Fractions for 3334/271, 8546/6415 is 2/1738465.