Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5887/18,8710/844
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 5887,8710
Greatest Common Factor of Numerators i.e. GCF of 5887,8710 is 1 .
LCM of Denominators means LCM of 18,844 as per the given fractions.
LCM of 18,844 is 7596 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5887,8710
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5887
List of positive integer factors of 5887 that divides 5887 without a remainder.
1,7,29,203,841,5887
Factors of 8710
List of positive integer factors of 8710 that divides 8710 without a remainder.
1,2,5,10,13,26,65,67,130,134,335,670,871,1742,4355,8710
Greatest Common Factor
We found the factors 5887,8710 . The biggest common factor number is the GCF number.
So the greatest common factor 5887,8710 is 1.
Lets's calculate LCM of 18,844
2 | 18, 844 |
9, 422 |
∴ So the LCM of the given numbers is 2 x 9 x 422 = 7596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7596
Therefore, the GCF of Fractions 5887/18,8710/844 is 1/7596
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 18,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(18,844) x common factors =2 x 1 = 2
LCM(18,844) = ( 18 × 844 ) / 2
LCM(18,844) = 15192 / 2
LCM(18,844) = 7596
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 5887/18, 8710/844?
Answer: GCF of Numerators as per given numbers 5887/18, 8710/844 is
GCF of Numerators i.e. for 5887,8710 is 1
LCM of denominators i.e. for 18,844 is 7596.
Thus, GCF of Fractions is 1/7596.Finally, GCF of Fractions for 5887/18, 8710/844 is 1/7596.