Use our free GCF of Fractions Calculator tool to compute the GCF of 9679/271, 6831/2694 i.e 1/730074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9679/271, 6831/2694.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9679/271,6831/2694
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 9679/271,6831/2694, numerators are 9679,6831
Denominators are 271,2694
The GCF of 9679,6831 is 1 .
LCM of 271,2694 is 730074.
The greatest common factor of 9679/271,6831/2694 = [GCF of 9679,6831]/[LCM of 271,2694]= 1/730074
Therefore, the GCF of 9679/271,6831/2694 is 1/730074.
To find the highest common factor of 9679,6831, we have to find the factors of both numbers and list the highest common factor.
The factors of 9679 are 1, 9679
The factors of 6831 are 1, 3, 9, 11, 23, 27, 33, 69, 99, 207, 253, 297, 621, 759, 2277, 6831
The HCF of 9679,6831 is 1.
Lets's calculate GCF of 9679,6831
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9679
:1,9679
Now, list down the factors of 6831
:1,3,9,11,23,27,33,69,99,207,253,297,621,759,2277,6831
Greatest Common Factor
We found the factors 9679,6831 . The biggest common factor number is the GCF number.
So the greatest common factor 9679,6831 is 1.
Lets's calculate LCM of 271,2694
Given numbers has no common factors except 1. So, there LCM is their product i.e 730074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/730074
Therefore, the GCF of Fractions 9679/271,6831/2694 is 1/730074
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 271,2694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,2694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,2694) x common factors =1 x 1 = 1
LCM(271,2694) = ( 271 × 2694 ) / 1
LCM(271,2694) = 730074 / 1
LCM(271,2694) = 730074
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9679,6831?
The HCF of 9679,6831 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 9679/271, 6831/2694?
Answer: GCF of Numerators as per given numbers 9679/271, 6831/2694 is
GCF of Numerators i.e. for 9679,6831 is 1
LCM of denominators i.e. for 271,2694 is 730074.
Thus, GCF of Fractions is 1/730074.Finally, GCF of Fractions for 9679/271, 6831/2694 is 1/730074.