Use our free GCF of Fractions Calculator tool to compute the GCF of 6664/323, 9135/289 i.e 7/5491 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6664/323, 9135/289.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6664/323,9135/289
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 6664/323,9135/289, numerators are 6664,9135
Denominators are 323,289
The GCF of 6664,9135 is 7 .
LCM of 323,289 is 5491.
The greatest common factor of 6664/323,9135/289 = [GCF of 6664,9135]/[LCM of 323,289]= 7/5491
Therefore, the GCF of 6664/323,9135/289 is 7/5491.
To find the highest common factor of 6664,9135, we have to find the factors of both numbers and list the highest common factor.
The factors of 6664 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 49, 56, 68, 98, 119, 136, 196, 238, 392, 476, 833, 952, 1666, 3332, 6664
The factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135
The HCF of 6664,9135 is 7.
Lets's calculate GCF of 6664,9135
7 | 6664, 9135 |
952, 1305 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 6664
:1,2,4,7,8,14,17,28,34,49,56,68,98,119,136,196,238,392,476,833,952,1666,3332,6664
Now, list down the factors of 9135
:1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135
Greatest Common Factor
We found the factors 6664,9135 . The biggest common factor number is the GCF number.
So the greatest common factor 6664,9135 is 7.
Lets's calculate LCM of 323,289
17 | 323, 289 |
19, 17 |
∴ So the LCM of the given numbers is 17 x 19 x 17 = 5491
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5491
Therefore, the GCF of Fractions 6664/323,9135/289 is 7/5491
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 323,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,289) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(323,289) x common factors =17 x 1 = 17
LCM(323,289) = ( 323 × 289 ) / 17
LCM(323,289) = 93347 / 17
LCM(323,289) = 5491
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6664,9135?
The HCF of 6664,9135 is 7
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 6664/323, 9135/289?
Answer: GCF of Numerators as per given numbers 6664/323, 9135/289 is
GCF of Numerators i.e. for 6664,9135 is 7
LCM of denominators i.e. for 323,289 is 5491.
Thus, GCF of Fractions is 7/5491.Finally, GCF of Fractions for 6664/323, 9135/289 is 7/5491.