Use our free GCF of Fractions Calculator tool to compute the GCF of 424/296, 997/589 i.e 1/174344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/296, 997/589.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/296,997/589
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 424/296,997/589, numerators are 424,997
Denominators are 296,589
The GCF of 424,997 is 1 .
LCM of 296,589 is 174344.
The greatest common factor of 424/296,997/589 = [GCF of 424,997]/[LCM of 296,589]= 1/174344
Therefore, the GCF of 424/296,997/589 is 1/174344.
To find the highest common factor of 424,997, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 997 are 1, 997
The HCF of 424,997 is 1.
Lets's calculate GCF of 424,997
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 997
:1,997
Greatest Common Factor
We found the factors 424,997 . The biggest common factor number is the GCF number.
So the greatest common factor 424,997 is 1.
Lets's calculate LCM of 296,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 174344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174344
Therefore, the GCF of Fractions 424/296,997/589 is 1/174344
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 296,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,589) x common factors =1 x 1 = 1
LCM(296,589) = ( 296 × 589 ) / 1
LCM(296,589) = 174344 / 1
LCM(296,589) = 174344
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 424,997?
The HCF of 424,997 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 424/296, 997/589?
Answer: GCF of Numerators as per given numbers 424/296, 997/589 is
GCF of Numerators i.e. for 424,997 is 1
LCM of denominators i.e. for 296,589 is 174344.
Thus, GCF of Fractions is 1/174344.Finally, GCF of Fractions for 424/296, 997/589 is 1/174344.