Use our free GCF of Fractions Calculator tool to compute the GCF of 579/214, 873/814 i.e 3/87098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 579/214, 873/814.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 579/214,873/814
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 579/214,873/814, numerators are 579,873
Denominators are 214,814
The GCF of 579,873 is 3 .
LCM of 214,814 is 87098.
The greatest common factor of 579/214,873/814 = [GCF of 579,873]/[LCM of 214,814]= 3/87098
Therefore, the GCF of 579/214,873/814 is 3/87098.
To find the highest common factor of 579,873, we have to find the factors of both numbers and list the highest common factor.
The factors of 579 are 1, 3, 193, 579
The factors of 873 are 1, 3, 9, 97, 291, 873
The HCF of 579,873 is 3.
Lets's calculate GCF of 579,873
3 | 579, 873 |
193, 291 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 579
:1,3,193,579
Now, list down the factors of 873
:1,3,9,97,291,873
Greatest Common Factor
We found the factors 579,873 . The biggest common factor number is the GCF number.
So the greatest common factor 579,873 is 3.
Lets's calculate LCM of 214,814
2 | 214, 814 |
107, 407 |
∴ So the LCM of the given numbers is 2 x 107 x 407 = 87098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/87098
Therefore, the GCF of Fractions 579/214,873/814 is 3/87098
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 214,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,814) x common factors =2 x 1 = 2
LCM(214,814) = ( 214 × 814 ) / 2
LCM(214,814) = 174196 / 2
LCM(214,814) = 87098
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 579,873?
The HCF of 579,873 is 3
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 579/214, 873/814?
Answer: GCF of Numerators as per given numbers 579/214, 873/814 is
GCF of Numerators i.e. for 579,873 is 3
LCM of denominators i.e. for 214,814 is 87098.
Thus, GCF of Fractions is 3/87098.Finally, GCF of Fractions for 579/214, 873/814 is 3/87098.