Use our free GCF of Fractions Calculator tool to compute the GCF of 353/437, 566/589 i.e 1/13547 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/437, 566/589.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 353/437,566/589
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 353/437,566/589, numerators are 353,566
Denominators are 437,589
The GCF of 353,566 is 1 .
LCM of 437,589 is 13547.
The greatest common factor of 353/437,566/589 = [GCF of 353,566]/[LCM of 437,589]= 1/13547
Therefore, the GCF of 353/437,566/589 is 1/13547.
To find the highest common factor of 353,566, we have to find the factors of both numbers and list the highest common factor.
The factors of 353 are 1, 353
The factors of 566 are 1, 2, 283, 566
The HCF of 353,566 is 1.
Lets's calculate GCF of 353,566
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 353
:1,353
Now, list down the factors of 566
:1,2,283,566
Greatest Common Factor
We found the factors 353,566 . The biggest common factor number is the GCF number.
So the greatest common factor 353,566 is 1.
Lets's calculate LCM of 437,589
19 | 437, 589 |
23, 31 |
∴ So the LCM of the given numbers is 19 x 23 x 31 = 13547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13547
Therefore, the GCF of Fractions 353/437,566/589 is 1/13547
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 437,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,589) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(437,589) x common factors =19 x 1 = 19
LCM(437,589) = ( 437 × 589 ) / 19
LCM(437,589) = 257393 / 19
LCM(437,589) = 13547
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 353,566?
The HCF of 353,566 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 353/437, 566/589?
Answer: GCF of Numerators as per given numbers 353/437, 566/589 is
GCF of Numerators i.e. for 353,566 is 1
LCM of denominators i.e. for 437,589 is 13547.
Thus, GCF of Fractions is 1/13547.Finally, GCF of Fractions for 353/437, 566/589 is 1/13547.