Use our free GCF of Fractions Calculator tool to compute the GCF of 579/825, 360/595 i.e 3/98175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 579/825, 360/595.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 579/825,360/595
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 579/825,360/595, numerators are 579,360
Denominators are 825,595
The GCF of 579,360 is 3 .
LCM of 825,595 is 98175.
The greatest common factor of 579/825,360/595 = [GCF of 579,360]/[LCM of 825,595]= 3/98175
Therefore, the GCF of 579/825,360/595 is 3/98175.
To find the highest common factor of 579,360, 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 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 579,360 is 3.
Lets's calculate GCF of 579,360
3 | 579, 360 |
193, 120 |
∴ 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 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 579,360 . The biggest common factor number is the GCF number.
So the greatest common factor 579,360 is 3.
Lets's calculate LCM of 825,595
5 | 825, 595 |
165, 119 |
∴ So the LCM of the given numbers is 5 x 165 x 119 = 98175
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/98175
Therefore, the GCF of Fractions 579/825,360/595 is 3/98175
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 825,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,595) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(825,595) x common factors =5 x 1 = 5
LCM(825,595) = ( 825 × 595 ) / 5
LCM(825,595) = 490875 / 5
LCM(825,595) = 98175
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 579,360?
The HCF of 579,360 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 579/825, 360/595?
Answer: GCF of Numerators as per given numbers 579/825, 360/595 is
GCF of Numerators i.e. for 579,360 is 3
LCM of denominators i.e. for 825,595 is 98175.
Thus, GCF of Fractions is 3/98175.Finally, GCF of Fractions for 579/825, 360/595 is 3/98175.