Use our free GCF of Fractions Calculator tool to compute the GCF of 582/873, 525/198 i.e 3/19206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 582/873, 525/198.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 582/873,525/198
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 582/873,525/198, numerators are 582,525
Denominators are 873,198
The GCF of 582,525 is 3 .
LCM of 873,198 is 19206.
The greatest common factor of 582/873,525/198 = [GCF of 582,525]/[LCM of 873,198]= 3/19206
Therefore, the GCF of 582/873,525/198 is 3/19206.
To find the highest common factor of 582,525, we have to find the factors of both numbers and list the highest common factor.
The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The HCF of 582,525 is 3.
Lets's calculate GCF of 582,525
3 | 582, 525 |
194, 175 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 582,525 . The biggest common factor number is the GCF number.
So the greatest common factor 582,525 is 3.
Lets's calculate LCM of 873,198
3 | 873, 198 |
3 | 291, 66 |
97, 22 |
∴ So the LCM of the given numbers is 3 x 3 x 97 x 22 = 19206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19206
Therefore, the GCF of Fractions 582/873,525/198 is 3/19206
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 873,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,198) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(873,198) x common factors =9 x 1 = 9
LCM(873,198) = ( 873 × 198 ) / 9
LCM(873,198) = 172854 / 9
LCM(873,198) = 19206
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 582,525?
The HCF of 582,525 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 582/873, 525/198?
Answer: GCF of Numerators as per given numbers 582/873, 525/198 is
GCF of Numerators i.e. for 582,525 is 3
LCM of denominators i.e. for 873,198 is 19206.
Thus, GCF of Fractions is 3/19206.Finally, GCF of Fractions for 582/873, 525/198 is 3/19206.