Use our free GCF of Fractions Calculator tool to compute the GCF of 891/145, 324/439 i.e 81/63655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 891/145, 324/439.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 891/145,324/439
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 891/145,324/439, numerators are 891,324
Denominators are 145,439
The GCF of 891,324 is 81 .
LCM of 145,439 is 63655.
The greatest common factor of 891/145,324/439 = [GCF of 891,324]/[LCM of 145,439]= 81/63655
Therefore, the GCF of 891/145,324/439 is 81/63655.
To find the highest common factor of 891,324, we have to find the factors of both numbers and list the highest common factor.
The factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The HCF of 891,324 is 81.
Lets's calculate GCF of 891,324
3 | 891, 324 |
3 | 297, 108 |
3 | 99, 36 |
3 | 33, 12 |
11, 4 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Now, list down the factors of 891
:1,3,9,11,27,33,81,99,297,891
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 891,324 . The biggest common factor number is the GCF number.
So the greatest common factor 891,324 is 81.
Lets's calculate LCM of 145,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 63655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/63655
Therefore, the GCF of Fractions 891/145,324/439 is 81/63655
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 145,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,439) x common factors =1 x 1 = 1
LCM(145,439) = ( 145 × 439 ) / 1
LCM(145,439) = 63655 / 1
LCM(145,439) = 63655
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 891,324?
The HCF of 891,324 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 891/145, 324/439?
Answer: GCF of Numerators as per given numbers 891/145, 324/439 is
GCF of Numerators i.e. for 891,324 is 81
LCM of denominators i.e. for 145,439 is 63655.
Thus, GCF of Fractions is 81/63655.Finally, GCF of Fractions for 891/145, 324/439 is 81/63655.