Use our free GCF of Fractions Calculator tool to compute the GCF of 523/397, 317/474 i.e 1/188178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 523/397, 317/474.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 523/397,317/474
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 523/397,317/474, numerators are 523,317
Denominators are 397,474
The GCF of 523,317 is 1 .
LCM of 397,474 is 188178.
The greatest common factor of 523/397,317/474 = [GCF of 523,317]/[LCM of 397,474]= 1/188178
Therefore, the GCF of 523/397,317/474 is 1/188178.
To find the highest common factor of 523,317, we have to find the factors of both numbers and list the highest common factor.
The factors of 523 are 1, 523
The factors of 317 are 1, 317
The HCF of 523,317 is 1.
Lets's calculate GCF of 523,317
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 523
:1,523
Now, list down the factors of 317
:1,317
Greatest Common Factor
We found the factors 523,317 . The biggest common factor number is the GCF number.
So the greatest common factor 523,317 is 1.
Lets's calculate LCM of 397,474
Given numbers has no common factors except 1. So, there LCM is their product i.e 188178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188178
Therefore, the GCF of Fractions 523/397,317/474 is 1/188178
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 397,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,474) x common factors =1 x 1 = 1
LCM(397,474) = ( 397 × 474 ) / 1
LCM(397,474) = 188178 / 1
LCM(397,474) = 188178
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 523,317?
The HCF of 523,317 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 523/397, 317/474?
Answer: GCF of Numerators as per given numbers 523/397, 317/474 is
GCF of Numerators i.e. for 523,317 is 1
LCM of denominators i.e. for 397,474 is 188178.
Thus, GCF of Fractions is 1/188178.Finally, GCF of Fractions for 523/397, 317/474 is 1/188178.