Use our free GCF of Fractions Calculator tool to compute the GCF of 648/273, 891/377 i.e 81/7917 easily. The following is the detailed procedure to determine the greatest common factor of fractions 648/273, 891/377.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 648/273,891/377
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 648/273,891/377, numerators are 648,891
Denominators are 273,377
The GCF of 648,891 is 81 .
LCM of 273,377 is 7917.
The greatest common factor of 648/273,891/377 = [GCF of 648,891]/[LCM of 273,377]= 81/7917
Therefore, the GCF of 648/273,891/377 is 81/7917.
To find the highest common factor of 648,891, we have to find the factors of both numbers and list the highest common factor.
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
The HCF of 648,891 is 81.
Lets's calculate GCF of 648,891
3 | 648, 891 |
3 | 216, 297 |
3 | 72, 99 |
3 | 24, 33 |
8, 11 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Now, list down the factors of 891
:1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 648,891 . The biggest common factor number is the GCF number.
So the greatest common factor 648,891 is 81.
Lets's calculate LCM of 273,377
13 | 273, 377 |
21, 29 |
∴ So the LCM of the given numbers is 13 x 21 x 29 = 7917
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/7917
Therefore, the GCF of Fractions 648/273,891/377 is 81/7917
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 273,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,377) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(273,377) x common factors =13 x 1 = 13
LCM(273,377) = ( 273 × 377 ) / 13
LCM(273,377) = 102921 / 13
LCM(273,377) = 7917
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 648,891?
The HCF of 648,891 is 81
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 648/273, 891/377?
Answer: GCF of Numerators as per given numbers 648/273, 891/377 is
GCF of Numerators i.e. for 648,891 is 81
LCM of denominators i.e. for 273,377 is 7917.
Thus, GCF of Fractions is 81/7917.Finally, GCF of Fractions for 648/273, 891/377 is 81/7917.