Use our free GCF of Fractions Calculator tool to compute the GCF of 339/569, 598/409 i.e 1/232721 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/569, 598/409.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 339/569,598/409
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 339/569,598/409, numerators are 339,598
Denominators are 569,409
The GCF of 339,598 is 1 .
LCM of 569,409 is 232721.
The greatest common factor of 339/569,598/409 = [GCF of 339,598]/[LCM of 569,409]= 1/232721
Therefore, the GCF of 339/569,598/409 is 1/232721.
To find the highest common factor of 339,598, we have to find the factors of both numbers and list the highest common factor.
The factors of 339 are 1, 3, 113, 339
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 339,598 is 1.
Lets's calculate GCF of 339,598
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 339
:1,3,113,339
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 339,598 . The biggest common factor number is the GCF number.
So the greatest common factor 339,598 is 1.
Lets's calculate LCM of 569,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 232721
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232721
Therefore, the GCF of Fractions 339/569,598/409 is 1/232721
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 569,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,409) x common factors =1 x 1 = 1
LCM(569,409) = ( 569 × 409 ) / 1
LCM(569,409) = 232721 / 1
LCM(569,409) = 232721
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 339,598?
The HCF of 339,598 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 339/569, 598/409?
Answer: GCF of Numerators as per given numbers 339/569, 598/409 is
GCF of Numerators i.e. for 339,598 is 1
LCM of denominators i.e. for 569,409 is 232721.
Thus, GCF of Fractions is 1/232721.Finally, GCF of Fractions for 339/569, 598/409 is 1/232721.