Use our free GCF of Fractions Calculator tool to compute the GCF of 566/589, 596/662 i.e 2/389918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 566/589, 596/662.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 566/589,596/662
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 566/589,596/662, numerators are 566,596
Denominators are 589,662
The GCF of 566,596 is 2 .
LCM of 589,662 is 389918.
The greatest common factor of 566/589,596/662 = [GCF of 566,596]/[LCM of 589,662]= 2/389918
Therefore, the GCF of 566/589,596/662 is 2/389918.
To find the highest common factor of 566,596, we have to find the factors of both numbers and list the highest common factor.
The factors of 566 are 1, 2, 283, 566
The factors of 596 are 1, 2, 4, 149, 298, 596
The HCF of 566,596 is 2.
Lets's calculate GCF of 566,596
2 | 566, 596 |
283, 298 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 566
:1,2,283,566
Now, list down the factors of 596
:1,2,4,149,298,596
Greatest Common Factor
We found the factors 566,596 . The biggest common factor number is the GCF number.
So the greatest common factor 566,596 is 2.
Lets's calculate LCM of 589,662
Given numbers has no common factors except 1. So, there LCM is their product i.e 389918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/389918
Therefore, the GCF of Fractions 566/589,596/662 is 2/389918
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 589,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,662) x common factors =1 x 1 = 1
LCM(589,662) = ( 589 × 662 ) / 1
LCM(589,662) = 389918 / 1
LCM(589,662) = 389918
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 566,596?
The HCF of 566,596 is 2
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 566/589, 596/662?
Answer: GCF of Numerators as per given numbers 566/589, 596/662 is
GCF of Numerators i.e. for 566,596 is 2
LCM of denominators i.e. for 589,662 is 389918.
Thus, GCF of Fractions is 2/389918.Finally, GCF of Fractions for 566/589, 596/662 is 2/389918.