Use our free GCF of Fractions Calculator tool to compute the GCF of 9131/766, 4610/255 i.e 1/195330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9131/766, 4610/255.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9131/766,4610/255
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 9131/766,4610/255, numerators are 9131,4610
Denominators are 766,255
The GCF of 9131,4610 is 1 .
LCM of 766,255 is 195330.
The greatest common factor of 9131/766,4610/255 = [GCF of 9131,4610]/[LCM of 766,255]= 1/195330
Therefore, the GCF of 9131/766,4610/255 is 1/195330.
To find the highest common factor of 9131,4610, we have to find the factors of both numbers and list the highest common factor.
The factors of 9131 are 1, 23, 397, 9131
The factors of 4610 are 1, 2, 5, 10, 461, 922, 2305, 4610
The HCF of 9131,4610 is 1.
Lets's calculate GCF of 9131,4610
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9131
:1,23,397,9131
Now, list down the factors of 4610
:1,2,5,10,461,922,2305,4610
Greatest Common Factor
We found the factors 9131,4610 . The biggest common factor number is the GCF number.
So the greatest common factor 9131,4610 is 1.
Lets's calculate LCM of 766,255
Given numbers has no common factors except 1. So, there LCM is their product i.e 195330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195330
Therefore, the GCF of Fractions 9131/766,4610/255 is 1/195330
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 766,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(766,255) x common factors =1 x 1 = 1
LCM(766,255) = ( 766 × 255 ) / 1
LCM(766,255) = 195330 / 1
LCM(766,255) = 195330
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9131,4610?
The HCF of 9131,4610 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 9131/766, 4610/255?
Answer: GCF of Numerators as per given numbers 9131/766, 4610/255 is
GCF of Numerators i.e. for 9131,4610 is 1
LCM of denominators i.e. for 766,255 is 195330.
Thus, GCF of Fractions is 1/195330.Finally, GCF of Fractions for 9131/766, 4610/255 is 1/195330.