Use our free GCF of Fractions Calculator tool to compute the GCF of 7317/554, 5135/3324 i.e 1/3324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7317/554, 5135/3324.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7317/554,5135/3324
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 7317/554,5135/3324, numerators are 7317,5135
Denominators are 554,3324
The GCF of 7317,5135 is 1 .
LCM of 554,3324 is 3324.
The greatest common factor of 7317/554,5135/3324 = [GCF of 7317,5135]/[LCM of 554,3324]= 1/3324
Therefore, the GCF of 7317/554,5135/3324 is 1/3324.
To find the highest common factor of 7317,5135, we have to find the factors of both numbers and list the highest common factor.
The factors of 7317 are 1, 3, 9, 27, 271, 813, 2439, 7317
The factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135
The HCF of 7317,5135 is 1.
Lets's calculate GCF of 7317,5135
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7317
:1,3,9,27,271,813,2439,7317
Now, list down the factors of 5135
:1,5,13,65,79,395,1027,5135
Greatest Common Factor
We found the factors 7317,5135 . The biggest common factor number is the GCF number.
So the greatest common factor 7317,5135 is 1.
Lets's calculate LCM of 554,3324
2 | 554, 3324 |
277 | 277, 1662 |
1, 6 |
∴ So the LCM of the given numbers is 2 x 277 x 1 x 6 = 3324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3324
Therefore, the GCF of Fractions 7317/554,5135/3324 is 1/3324
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 554,3324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,3324) = 554
common factors(in case of two or more numbers have common factors) = 1
GCF(554,3324) x common factors =554 x 1 = 554
LCM(554,3324) = ( 554 × 3324 ) / 554
LCM(554,3324) = 1841496 / 554
LCM(554,3324) = 3324
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7317,5135?
The HCF of 7317,5135 is 1
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 7317/554, 5135/3324?
Answer: GCF of Numerators as per given numbers 7317/554, 5135/3324 is
GCF of Numerators i.e. for 7317,5135 is 1
LCM of denominators i.e. for 554,3324 is 3324.
Thus, GCF of Fractions is 1/3324.Finally, GCF of Fractions for 7317/554, 5135/3324 is 1/3324.