Use our free GCF of Fractions Calculator tool to compute the GCF of 578/199, 717/532 i.e 1/105868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 578/199, 717/532.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 578/199,717/532
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 578/199,717/532, numerators are 578,717
Denominators are 199,532
The GCF of 578,717 is 1 .
LCM of 199,532 is 105868.
The greatest common factor of 578/199,717/532 = [GCF of 578,717]/[LCM of 199,532]= 1/105868
Therefore, the GCF of 578/199,717/532 is 1/105868.
To find the highest common factor of 578,717, we have to find the factors of both numbers and list the highest common factor.
The factors of 578 are 1, 2, 17, 34, 289, 578
The factors of 717 are 1, 3, 239, 717
The HCF of 578,717 is 1.
Lets's calculate GCF of 578,717
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 578
:1,2,17,34,289,578
Now, list down the factors of 717
:1,3,239,717
Greatest Common Factor
We found the factors 578,717 . The biggest common factor number is the GCF number.
So the greatest common factor 578,717 is 1.
Lets's calculate LCM of 199,532
Given numbers has no common factors except 1. So, there LCM is their product i.e 105868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105868
Therefore, the GCF of Fractions 578/199,717/532 is 1/105868
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 199,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,532) x common factors =1 x 1 = 1
LCM(199,532) = ( 199 × 532 ) / 1
LCM(199,532) = 105868 / 1
LCM(199,532) = 105868
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 578,717?
The HCF of 578,717 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 578/199, 717/532?
Answer: GCF of Numerators as per given numbers 578/199, 717/532 is
GCF of Numerators i.e. for 578,717 is 1
LCM of denominators i.e. for 199,532 is 105868.
Thus, GCF of Fractions is 1/105868.Finally, GCF of Fractions for 578/199, 717/532 is 1/105868.