Use our free GCF of Fractions Calculator tool to compute the GCF of 8389/579, 2159/1064 i.e 1/616056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8389/579, 2159/1064.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8389/579,2159/1064
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 8389/579,2159/1064, numerators are 8389,2159
Denominators are 579,1064
The GCF of 8389,2159 is 1 .
LCM of 579,1064 is 616056.
The greatest common factor of 8389/579,2159/1064 = [GCF of 8389,2159]/[LCM of 579,1064]= 1/616056
Therefore, the GCF of 8389/579,2159/1064 is 1/616056.
To find the highest common factor of 8389,2159, we have to find the factors of both numbers and list the highest common factor.
The factors of 8389 are 1, 8389
The factors of 2159 are 1, 17, 127, 2159
The HCF of 8389,2159 is 1.
Lets's calculate GCF of 8389,2159
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8389
:1,8389
Now, list down the factors of 2159
:1,17,127,2159
Greatest Common Factor
We found the factors 8389,2159 . The biggest common factor number is the GCF number.
So the greatest common factor 8389,2159 is 1.
Lets's calculate LCM of 579,1064
Given numbers has no common factors except 1. So, there LCM is their product i.e 616056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616056
Therefore, the GCF of Fractions 8389/579,2159/1064 is 1/616056
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 579,1064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,1064) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,1064) x common factors =1 x 1 = 1
LCM(579,1064) = ( 579 × 1064 ) / 1
LCM(579,1064) = 616056 / 1
LCM(579,1064) = 616056
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8389,2159?
The HCF of 8389,2159 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 8389/579, 2159/1064?
Answer: GCF of Numerators as per given numbers 8389/579, 2159/1064 is
GCF of Numerators i.e. for 8389,2159 is 1
LCM of denominators i.e. for 579,1064 is 616056.
Thus, GCF of Fractions is 1/616056.Finally, GCF of Fractions for 8389/579, 2159/1064 is 1/616056.