Use our free GCF of Fractions Calculator tool to compute the GCF of 889/864, 325/324 i.e 1/2592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 889/864, 325/324.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 889/864,325/324
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 889/864,325/324, numerators are 889,325
Denominators are 864,324
The GCF of 889,325 is 1 .
LCM of 864,324 is 2592.
The greatest common factor of 889/864,325/324 = [GCF of 889,325]/[LCM of 864,324]= 1/2592
Therefore, the GCF of 889/864,325/324 is 1/2592.
To find the highest common factor of 889,325, we have to find the factors of both numbers and list the highest common factor.
The factors of 889 are 1, 7, 127, 889
The factors of 325 are 1, 5, 13, 25, 65, 325
The HCF of 889,325 is 1.
Lets's calculate GCF of 889,325
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 889
:1,7,127,889
Now, list down the factors of 325
:1,5,13,25,65,325
Greatest Common Factor
We found the factors 889,325 . The biggest common factor number is the GCF number.
So the greatest common factor 889,325 is 1.
Lets's calculate LCM of 864,324
2 | 864, 324 |
2 | 432, 162 |
3 | 216, 81 |
3 | 72, 27 |
3 | 24, 9 |
8, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 8 x 3 = 2592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2592
Therefore, the GCF of Fractions 889/864,325/324 is 1/2592
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 864,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,324) = 108
common factors(in case of two or more numbers have common factors) = 1
GCF(864,324) x common factors =108 x 1 = 108
LCM(864,324) = ( 864 × 324 ) / 108
LCM(864,324) = 279936 / 108
LCM(864,324) = 2592
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 889,325?
The HCF of 889,325 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 889/864, 325/324?
Answer: GCF of Numerators as per given numbers 889/864, 325/324 is
GCF of Numerators i.e. for 889,325 is 1
LCM of denominators i.e. for 864,324 is 2592.
Thus, GCF of Fractions is 1/2592.Finally, GCF of Fractions for 889/864, 325/324 is 1/2592.