Use our free GCF of Fractions Calculator tool to compute the GCF of 3399/323, 5778/2111 i.e 3/681853 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3399/323, 5778/2111.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3399/323,5778/2111
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 3399/323,5778/2111, numerators are 3399,5778
Denominators are 323,2111
The GCF of 3399,5778 is 3 .
LCM of 323,2111 is 681853.
The greatest common factor of 3399/323,5778/2111 = [GCF of 3399,5778]/[LCM of 323,2111]= 3/681853
Therefore, the GCF of 3399/323,5778/2111 is 3/681853.
To find the highest common factor of 3399,5778, we have to find the factors of both numbers and list the highest common factor.
The factors of 3399 are 1, 3, 11, 33, 103, 309, 1133, 3399
The factors of 5778 are 1, 2, 3, 6, 9, 18, 27, 54, 107, 214, 321, 642, 963, 1926, 2889, 5778
The HCF of 3399,5778 is 3.
Lets's calculate GCF of 3399,5778
3 | 3399, 5778 |
1133, 1926 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 3399
:1,3,11,33,103,309,1133,3399
Now, list down the factors of 5778
:1,2,3,6,9,18,27,54,107,214,321,642,963,1926,2889,5778
Greatest Common Factor
We found the factors 3399,5778 . The biggest common factor number is the GCF number.
So the greatest common factor 3399,5778 is 3.
Lets's calculate LCM of 323,2111
Given numbers has no common factors except 1. So, there LCM is their product i.e 681853
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/681853
Therefore, the GCF of Fractions 3399/323,5778/2111 is 3/681853
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 323,2111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,2111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,2111) x common factors =1 x 1 = 1
LCM(323,2111) = ( 323 × 2111 ) / 1
LCM(323,2111) = 681853 / 1
LCM(323,2111) = 681853
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3399,5778?
The HCF of 3399,5778 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 3399/323, 5778/2111?
Answer: GCF of Numerators as per given numbers 3399/323, 5778/2111 is
GCF of Numerators i.e. for 3399,5778 is 3
LCM of denominators i.e. for 323,2111 is 681853.
Thus, GCF of Fractions is 3/681853.Finally, GCF of Fractions for 3399/323, 5778/2111 is 3/681853.