Use our free GCF of Fractions Calculator tool to compute the GCF of 208/809, 589/285 i.e 1/230565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 208/809, 589/285.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 208/809,589/285
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 208/809,589/285, numerators are 208,589
Denominators are 809,285
The GCF of 208,589 is 1 .
LCM of 809,285 is 230565.
The greatest common factor of 208/809,589/285 = [GCF of 208,589]/[LCM of 809,285]= 1/230565
Therefore, the GCF of 208/809,589/285 is 1/230565.
To find the highest common factor of 208,589, we have to find the factors of both numbers and list the highest common factor.
The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
The factors of 589 are 1, 19, 31, 589
The HCF of 208,589 is 1.
Lets's calculate GCF of 208,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 208
:1,2,4,8,13,16,26,52,104,208
Now, list down the factors of 589
:1,19,31,589
Greatest Common Factor
We found the factors 208,589 . The biggest common factor number is the GCF number.
So the greatest common factor 208,589 is 1.
Lets's calculate LCM of 809,285
Given numbers has no common factors except 1. So, there LCM is their product i.e 230565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230565
Therefore, the GCF of Fractions 208/809,589/285 is 1/230565
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 809,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,285) x common factors =1 x 1 = 1
LCM(809,285) = ( 809 × 285 ) / 1
LCM(809,285) = 230565 / 1
LCM(809,285) = 230565
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 208,589?
The HCF of 208,589 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 208/809, 589/285?
Answer: GCF of Numerators as per given numbers 208/809, 589/285 is
GCF of Numerators i.e. for 208,589 is 1
LCM of denominators i.e. for 809,285 is 230565.
Thus, GCF of Fractions is 1/230565.Finally, GCF of Fractions for 208/809, 589/285 is 1/230565.