Use our free GCF of Fractions Calculator tool to compute the GCF of 981/466, 9187/849 i.e 1/395634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 981/466, 9187/849.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 981/466,9187/849
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 981/466,9187/849, numerators are 981,9187
Denominators are 466,849
The GCF of 981,9187 is 1 .
LCM of 466,849 is 395634.
The greatest common factor of 981/466,9187/849 = [GCF of 981,9187]/[LCM of 466,849]= 1/395634
Therefore, the GCF of 981/466,9187/849 is 1/395634.
To find the highest common factor of 981,9187, we have to find the factors of both numbers and list the highest common factor.
The factors of 981 are 1, 3, 9, 109, 327, 981
The factors of 9187 are 1, 9187
The HCF of 981,9187 is 1.
Lets's calculate GCF of 981,9187
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 981
:1,3,9,109,327,981
Now, list down the factors of 9187
:1,9187
Greatest Common Factor
We found the factors 981,9187 . The biggest common factor number is the GCF number.
So the greatest common factor 981,9187 is 1.
Lets's calculate LCM of 466,849
Given numbers has no common factors except 1. So, there LCM is their product i.e 395634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/395634
Therefore, the GCF of Fractions 981/466,9187/849 is 1/395634
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 466,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(466,849) x common factors =1 x 1 = 1
LCM(466,849) = ( 466 × 849 ) / 1
LCM(466,849) = 395634 / 1
LCM(466,849) = 395634
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 981,9187?
The HCF of 981,9187 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 981/466, 9187/849?
Answer: GCF of Numerators as per given numbers 981/466, 9187/849 is
GCF of Numerators i.e. for 981,9187 is 1
LCM of denominators i.e. for 466,849 is 395634.
Thus, GCF of Fractions is 1/395634.Finally, GCF of Fractions for 981/466, 9187/849 is 1/395634.