Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5934/339,6015/5497
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 5934,6015
Greatest Common Factor of Numerators i.e. GCF of 5934,6015 is 3 .
LCM of Denominators means LCM of 339,5497 as per the given fractions.
LCM of 339,5497 is 1863483 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5934,6015
3 | 5934, 6015 |
1978, 2005 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5934
List of positive integer factors of 5934 that divides 5934 without a remainder.
1,2,3,6,23,43,46,69,86,129,138,258,989,1978,2967,5934
Factors of 6015
List of positive integer factors of 6015 that divides 6015 without a remainder.
1,3,5,15,401,1203,2005,6015
Greatest Common Factor
We found the factors 5934,6015 . The biggest common factor number is the GCF number.
So the greatest common factor 5934,6015 is 3.
Lets's calculate LCM of 339,5497
Given numbers has no common factors except 1. So, there LCM is their product i.e 1863483
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1863483
Therefore, the GCF of Fractions 5934/339,6015/5497 is 3/1863483
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 339,5497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,5497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,5497) x common factors =1 x 1 = 1
LCM(339,5497) = ( 339 × 5497 ) / 1
LCM(339,5497) = 1863483 / 1
LCM(339,5497) = 1863483
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 5934/339, 6015/5497?
Answer: GCF of Numerators as per given numbers 5934/339, 6015/5497 is
GCF of Numerators i.e. for 5934,6015 is 3
LCM of denominators i.e. for 339,5497 is 1863483.
Thus, GCF of Fractions is 3/1863483.Finally, GCF of Fractions for 5934/339, 6015/5497 is 3/1863483.