Use our free GCF of Fractions Calculator tool to compute the GCF of 331/994, 171/325 i.e 1/323050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 331/994, 171/325.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 331/994,171/325
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 331/994,171/325, numerators are 331,171
Denominators are 994,325
The GCF of 331,171 is 1 .
LCM of 994,325 is 323050.
The greatest common factor of 331/994,171/325 = [GCF of 331,171]/[LCM of 994,325]= 1/323050
Therefore, the GCF of 331/994,171/325 is 1/323050.
To find the highest common factor of 331,171, we have to find the factors of both numbers and list the highest common factor.
The factors of 331 are 1, 331
The factors of 171 are 1, 3, 9, 19, 57, 171
The HCF of 331,171 is 1.
Lets's calculate GCF of 331,171
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 331
:1,331
Now, list down the factors of 171
:1,3,9,19,57,171
Greatest Common Factor
We found the factors 331,171 . The biggest common factor number is the GCF number.
So the greatest common factor 331,171 is 1.
Lets's calculate LCM of 994,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 323050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323050
Therefore, the GCF of Fractions 331/994,171/325 is 1/323050
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 994,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(994,325) x common factors =1 x 1 = 1
LCM(994,325) = ( 994 × 325 ) / 1
LCM(994,325) = 323050 / 1
LCM(994,325) = 323050
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 331,171?
The HCF of 331,171 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 331/994, 171/325?
Answer: GCF of Numerators as per given numbers 331/994, 171/325 is
GCF of Numerators i.e. for 331,171 is 1
LCM of denominators i.e. for 994,325 is 323050.
Thus, GCF of Fractions is 1/323050.Finally, GCF of Fractions for 331/994, 171/325 is 1/323050.