Use our free GCF of Fractions Calculator tool to compute the GCF of 8579/875, 1398/2734 i.e 1/2392250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8579/875, 1398/2734.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8579/875,1398/2734
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 8579/875,1398/2734, numerators are 8579,1398
Denominators are 875,2734
The GCF of 8579,1398 is 1 .
LCM of 875,2734 is 2392250.
The greatest common factor of 8579/875,1398/2734 = [GCF of 8579,1398]/[LCM of 875,2734]= 1/2392250
Therefore, the GCF of 8579/875,1398/2734 is 1/2392250.
To find the highest common factor of 8579,1398, we have to find the factors of both numbers and list the highest common factor.
The factors of 8579 are 1, 23, 373, 8579
The factors of 1398 are 1, 2, 3, 6, 233, 466, 699, 1398
The HCF of 8579,1398 is 1.
Lets's calculate GCF of 8579,1398
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8579
:1,23,373,8579
Now, list down the factors of 1398
:1,2,3,6,233,466,699,1398
Greatest Common Factor
We found the factors 8579,1398 . The biggest common factor number is the GCF number.
So the greatest common factor 8579,1398 is 1.
Lets's calculate LCM of 875,2734
Given numbers has no common factors except 1. So, there LCM is their product i.e 2392250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2392250
Therefore, the GCF of Fractions 8579/875,1398/2734 is 1/2392250
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 875,2734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,2734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,2734) x common factors =1 x 1 = 1
LCM(875,2734) = ( 875 × 2734 ) / 1
LCM(875,2734) = 2392250 / 1
LCM(875,2734) = 2392250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8579,1398?
The HCF of 8579,1398 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 8579/875, 1398/2734?
Answer: GCF of Numerators as per given numbers 8579/875, 1398/2734 is
GCF of Numerators i.e. for 8579,1398 is 1
LCM of denominators i.e. for 875,2734 is 2392250.
Thus, GCF of Fractions is 1/2392250.Finally, GCF of Fractions for 8579/875, 1398/2734 is 1/2392250.