Use our free GCF of Fractions Calculator tool to compute the GCF of 325/987, 789/891 i.e 1/293139 easily. The following is the detailed procedure to determine the greatest common factor of fractions 325/987, 789/891.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 325/987,789/891
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 325/987,789/891, numerators are 325,789
Denominators are 987,891
The GCF of 325,789 is 1 .
LCM of 987,891 is 293139.
The greatest common factor of 325/987,789/891 = [GCF of 325,789]/[LCM of 987,891]= 1/293139
Therefore, the GCF of 325/987,789/891 is 1/293139.
To find the highest common factor of 325,789, we have to find the factors of both numbers and list the highest common factor.
The factors of 325 are 1, 5, 13, 25, 65, 325
The factors of 789 are 1, 3, 263, 789
The HCF of 325,789 is 1.
Lets's calculate GCF of 325,789
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 325
:1,5,13,25,65,325
Now, list down the factors of 789
:1,3,263,789
Greatest Common Factor
We found the factors 325,789 . The biggest common factor number is the GCF number.
So the greatest common factor 325,789 is 1.
Lets's calculate LCM of 987,891
3 | 987, 891 |
329, 297 |
∴ So the LCM of the given numbers is 3 x 329 x 297 = 293139
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293139
Therefore, the GCF of Fractions 325/987,789/891 is 1/293139
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 987,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,891) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(987,891) x common factors =3 x 1 = 3
LCM(987,891) = ( 987 × 891 ) / 3
LCM(987,891) = 879417 / 3
LCM(987,891) = 293139
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 325,789?
The HCF of 325,789 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 325/987, 789/891?
Answer: GCF of Numerators as per given numbers 325/987, 789/891 is
GCF of Numerators i.e. for 325,789 is 1
LCM of denominators i.e. for 987,891 is 293139.
Thus, GCF of Fractions is 1/293139.Finally, GCF of Fractions for 325/987, 789/891 is 1/293139.