Use our free GCF of Fractions Calculator tool to compute the GCF of 111/460, 298/291 i.e 1/133860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 111/460, 298/291.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 111/460,298/291
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 111/460,298/291, numerators are 111,298
Denominators are 460,291
The GCF of 111,298 is 1 .
LCM of 460,291 is 133860.
The greatest common factor of 111/460,298/291 = [GCF of 111,298]/[LCM of 460,291]= 1/133860
Therefore, the GCF of 111/460,298/291 is 1/133860.
To find the highest common factor of 111,298, we have to find the factors of both numbers and list the highest common factor.
The factors of 111 are 1, 3, 37, 111
The factors of 298 are 1, 2, 149, 298
The HCF of 111,298 is 1.
Lets's calculate GCF of 111,298
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 111
:1,3,37,111
Now, list down the factors of 298
:1,2,149,298
Greatest Common Factor
We found the factors 111,298 . The biggest common factor number is the GCF number.
So the greatest common factor 111,298 is 1.
Lets's calculate LCM of 460,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 133860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133860
Therefore, the GCF of Fractions 111/460,298/291 is 1/133860
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 460,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(460,291) x common factors =1 x 1 = 1
LCM(460,291) = ( 460 × 291 ) / 1
LCM(460,291) = 133860 / 1
LCM(460,291) = 133860
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 111,298?
The HCF of 111,298 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 111/460, 298/291?
Answer: GCF of Numerators as per given numbers 111/460, 298/291 is
GCF of Numerators i.e. for 111,298 is 1
LCM of denominators i.e. for 460,291 is 133860.
Thus, GCF of Fractions is 1/133860.Finally, GCF of Fractions for 111/460, 298/291 is 1/133860.