Use our free GCF of Fractions Calculator tool to compute the GCF of 8569/317, 9647/368 i.e 11/116656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8569/317, 9647/368.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8569/317,9647/368
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 8569/317,9647/368, numerators are 8569,9647
Denominators are 317,368
The GCF of 8569,9647 is 11 .
LCM of 317,368 is 116656.
The greatest common factor of 8569/317,9647/368 = [GCF of 8569,9647]/[LCM of 317,368]= 11/116656
Therefore, the GCF of 8569/317,9647/368 is 11/116656.
To find the highest common factor of 8569,9647, we have to find the factors of both numbers and list the highest common factor.
The factors of 8569 are 1, 11, 19, 41, 209, 451, 779, 8569
The factors of 9647 are 1, 11, 877, 9647
The HCF of 8569,9647 is 11.
Lets's calculate GCF of 8569,9647
11 | 8569, 9647 |
779, 877 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 8569
:1,11,19,41,209,451,779,8569
Now, list down the factors of 9647
:1,11,877,9647
Greatest Common Factor
We found the factors 8569,9647 . The biggest common factor number is the GCF number.
So the greatest common factor 8569,9647 is 11.
Lets's calculate LCM of 317,368
Given numbers has no common factors except 1. So, there LCM is their product i.e 116656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/116656
Therefore, the GCF of Fractions 8569/317,9647/368 is 11/116656
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 317,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,368) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,368) x common factors =1 x 1 = 1
LCM(317,368) = ( 317 × 368 ) / 1
LCM(317,368) = 116656 / 1
LCM(317,368) = 116656
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8569,9647?
The HCF of 8569,9647 is 11
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 8569/317, 9647/368?
Answer: GCF of Numerators as per given numbers 8569/317, 9647/368 is
GCF of Numerators i.e. for 8569,9647 is 11
LCM of denominators i.e. for 317,368 is 116656.
Thus, GCF of Fractions is 11/116656.Finally, GCF of Fractions for 8569/317, 9647/368 is 11/116656.