Use our free GCF of Fractions Calculator tool to compute the GCF of 131/981, 958/325 i.e 1/318825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 131/981, 958/325.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 131/981,958/325
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 131/981,958/325, numerators are 131,958
Denominators are 981,325
The GCF of 131,958 is 1 .
LCM of 981,325 is 318825.
The greatest common factor of 131/981,958/325 = [GCF of 131,958]/[LCM of 981,325]= 1/318825
Therefore, the GCF of 131/981,958/325 is 1/318825.
To find the highest common factor of 131,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 131 are 1, 131
The factors of 958 are 1, 2, 479, 958
The HCF of 131,958 is 1.
Lets's calculate GCF of 131,958
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 131
:1,131
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 131,958 . The biggest common factor number is the GCF number.
So the greatest common factor 131,958 is 1.
Lets's calculate LCM of 981,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 318825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318825
Therefore, the GCF of Fractions 131/981,958/325 is 1/318825
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 981,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(981,325) x common factors =1 x 1 = 1
LCM(981,325) = ( 981 × 325 ) / 1
LCM(981,325) = 318825 / 1
LCM(981,325) = 318825
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 131,958?
The HCF of 131,958 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 131/981, 958/325?
Answer: GCF of Numerators as per given numbers 131/981, 958/325 is
GCF of Numerators i.e. for 131,958 is 1
LCM of denominators i.e. for 981,325 is 318825.
Thus, GCF of Fractions is 1/318825.Finally, GCF of Fractions for 131/981, 958/325 is 1/318825.