Use our free GCF of Fractions Calculator tool to compute the GCF of 999/159, 311/576 i.e 1/30528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 999/159, 311/576.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 999/159,311/576
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 999/159,311/576, numerators are 999,311
Denominators are 159,576
The GCF of 999,311 is 1 .
LCM of 159,576 is 30528.
The greatest common factor of 999/159,311/576 = [GCF of 999,311]/[LCM of 159,576]= 1/30528
Therefore, the GCF of 999/159,311/576 is 1/30528.
To find the highest common factor of 999,311, we have to find the factors of both numbers and list the highest common factor.
The factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999
The factors of 311 are 1, 311
The HCF of 999,311 is 1.
Lets's calculate GCF of 999,311
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 999
:1,3,9,27,37,111,333,999
Now, list down the factors of 311
:1,311
Greatest Common Factor
We found the factors 999,311 . The biggest common factor number is the GCF number.
So the greatest common factor 999,311 is 1.
Lets's calculate LCM of 159,576
3 | 159, 576 |
53, 192 |
∴ So the LCM of the given numbers is 3 x 53 x 192 = 30528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30528
Therefore, the GCF of Fractions 999/159,311/576 is 1/30528
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 159,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,576) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,576) x common factors =3 x 1 = 3
LCM(159,576) = ( 159 × 576 ) / 3
LCM(159,576) = 91584 / 3
LCM(159,576) = 30528
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 999,311?
The HCF of 999,311 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 999/159, 311/576?
Answer: GCF of Numerators as per given numbers 999/159, 311/576 is
GCF of Numerators i.e. for 999,311 is 1
LCM of denominators i.e. for 159,576 is 30528.
Thus, GCF of Fractions is 1/30528.Finally, GCF of Fractions for 999/159, 311/576 is 1/30528.