Use our free GCF of Fractions Calculator tool to compute the GCF of 81/273, 377/339, 721/401 i.e 1/12370449 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/273, 377/339, 721/401.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/273,377/339,721/401
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 81/273,377/339,721/401, numerators are 81,377,721
Denominators are 273,339,401
The GCF of 81,377,721 is 1 .
LCM of 273,339,401 is 12370449.
The greatest common factor of 81/273,377/339,721/401 = [GCF of 81,377,721]/[LCM of 273,339,401]= 1/12370449
Therefore, the GCF of 81/273,377/339,721/401 is 1/12370449.
To find the highest common factor of 81,377,721, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 377 are 1, 13, 29, 377
The factors of 721 are 1, 7, 103, 721
The HCF of 81,377,721 is 1.
Lets's calculate GCF of 81,377,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 377
:1,13,29,377
Now, list down the factors of 721
:1,7,103,721
Greatest Common Factor
We found the factors 81,377,721 . The biggest common factor number is the GCF number.
So the greatest common factor 81,377,721 is 1.
Lets's calculate LCM of 273,339,401
3 | 273, 339, 401 |
91, 113, 401 |
∴ So the LCM of the given numbers is 3 x 91 x 113 x 401 = 12370449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12370449
Therefore, the GCF of Fractions 81/273,377/339,721/401 is 1/12370449
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 273,339,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,339,401) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(273,339,401) x common factors =1 x 3 = 3
LCM(273,339,401) = ( 273 × 339 × 401 ) / 3
LCM(273,339,401) = 37111347 / 3
LCM(273,339,401) = 12370449
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 81,377,721?
The HCF of 81,377,721 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 81/273, 377/339, 721/401?
Answer: GCF of Numerators as per given numbers 81/273, 377/339, 721/401 is
GCF of Numerators i.e. for 81,377,721 is 1
LCM of denominators i.e. for 273,339,401 is 12370449.
Thus, GCF of Fractions is 1/12370449.Finally, GCF of Fractions for 81/273, 377/339, 721/401 is 1/12370449.