Use our free GCF of Fractions Calculator tool to compute the GCF of 6116/690, 5864/9037 i.e 4/6235530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6116/690, 5864/9037.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6116/690,5864/9037
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6116/690,5864/9037, numerators are 6116,5864
Denominators are 690,9037
The GCF of 6116,5864 is 4 .
LCM of 690,9037 is 6235530.
The greatest common factor of 6116/690,5864/9037 = [GCF of 6116,5864]/[LCM of 690,9037]= 4/6235530
Therefore, the GCF of 6116/690,5864/9037 is 4/6235530.
To find the highest common factor of 6116,5864, we have to find the factors of both numbers and list the highest common factor.
The factors of 6116 are 1, 2, 4, 11, 22, 44, 139, 278, 556, 1529, 3058, 6116
The factors of 5864 are 1, 2, 4, 8, 733, 1466, 2932, 5864
The HCF of 6116,5864 is 4.
Lets's calculate GCF of 6116,5864
2 | 6116, 5864 |
2 | 3058, 2932 |
1529, 1466 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 6116
:1,2,4,11,22,44,139,278,556,1529,3058,6116
Now, list down the factors of 5864
:1,2,4,8,733,1466,2932,5864
Greatest Common Factor
We found the factors 6116,5864 . The biggest common factor number is the GCF number.
So the greatest common factor 6116,5864 is 4.
Lets's calculate LCM of 690,9037
Given numbers has no common factors except 1. So, there LCM is their product i.e 6235530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6235530
Therefore, the GCF of Fractions 6116/690,5864/9037 is 4/6235530
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 690,9037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,9037) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(690,9037) x common factors =1 x 1 = 1
LCM(690,9037) = ( 690 × 9037 ) / 1
LCM(690,9037) = 6235530 / 1
LCM(690,9037) = 6235530
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6116,5864?
The HCF of 6116,5864 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 6116/690, 5864/9037?
Answer: GCF of Numerators as per given numbers 6116/690, 5864/9037 is
GCF of Numerators i.e. for 6116,5864 is 4
LCM of denominators i.e. for 690,9037 is 6235530.
Thus, GCF of Fractions is 4/6235530.Finally, GCF of Fractions for 6116/690, 5864/9037 is 4/6235530.