Use our free GCF of Fractions Calculator tool to compute the GCF of 2019/269, 9591/4598 i.e 3/1236862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2019/269, 9591/4598.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2019/269,9591/4598
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 2019/269,9591/4598, numerators are 2019,9591
Denominators are 269,4598
The GCF of 2019,9591 is 3 .
LCM of 269,4598 is 1236862.
The greatest common factor of 2019/269,9591/4598 = [GCF of 2019,9591]/[LCM of 269,4598]= 3/1236862
Therefore, the GCF of 2019/269,9591/4598 is 3/1236862.
To find the highest common factor of 2019,9591, we have to find the factors of both numbers and list the highest common factor.
The factors of 2019 are 1, 3, 673, 2019
The factors of 9591 are 1, 3, 23, 69, 139, 417, 3197, 9591
The HCF of 2019,9591 is 3.
Lets's calculate GCF of 2019,9591
3 | 2019, 9591 |
673, 3197 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 2019
:1,3,673,2019
Now, list down the factors of 9591
:1,3,23,69,139,417,3197,9591
Greatest Common Factor
We found the factors 2019,9591 . The biggest common factor number is the GCF number.
So the greatest common factor 2019,9591 is 3.
Lets's calculate LCM of 269,4598
Given numbers has no common factors except 1. So, there LCM is their product i.e 1236862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1236862
Therefore, the GCF of Fractions 2019/269,9591/4598 is 3/1236862
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 269,4598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,4598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,4598) x common factors =1 x 1 = 1
LCM(269,4598) = ( 269 × 4598 ) / 1
LCM(269,4598) = 1236862 / 1
LCM(269,4598) = 1236862
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2019,9591?
The HCF of 2019,9591 is 3
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 2019/269, 9591/4598?
Answer: GCF of Numerators as per given numbers 2019/269, 9591/4598 is
GCF of Numerators i.e. for 2019,9591 is 3
LCM of denominators i.e. for 269,4598 is 1236862.
Thus, GCF of Fractions is 3/1236862.Finally, GCF of Fractions for 2019/269, 9591/4598 is 3/1236862.