Use our free GCF of Fractions Calculator tool to compute the GCF of 5899/446, 6798/2060 i.e 1/459380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5899/446, 6798/2060.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5899/446,6798/2060
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 5899/446,6798/2060, numerators are 5899,6798
Denominators are 446,2060
The GCF of 5899,6798 is 1 .
LCM of 446,2060 is 459380.
The greatest common factor of 5899/446,6798/2060 = [GCF of 5899,6798]/[LCM of 446,2060]= 1/459380
Therefore, the GCF of 5899/446,6798/2060 is 1/459380.
To find the highest common factor of 5899,6798, we have to find the factors of both numbers and list the highest common factor.
The factors of 5899 are 1, 17, 347, 5899
The factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798
The HCF of 5899,6798 is 1.
Lets's calculate GCF of 5899,6798
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5899
:1,17,347,5899
Now, list down the factors of 6798
:1,2,3,6,11,22,33,66,103,206,309,618,1133,2266,3399,6798
Greatest Common Factor
We found the factors 5899,6798 . The biggest common factor number is the GCF number.
So the greatest common factor 5899,6798 is 1.
Lets's calculate LCM of 446,2060
2 | 446, 2060 |
223, 1030 |
∴ So the LCM of the given numbers is 2 x 223 x 1030 = 459380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/459380
Therefore, the GCF of Fractions 5899/446,6798/2060 is 1/459380
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 446,2060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,2060) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,2060) x common factors =2 x 1 = 2
LCM(446,2060) = ( 446 × 2060 ) / 2
LCM(446,2060) = 918760 / 2
LCM(446,2060) = 459380
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5899,6798?
The HCF of 5899,6798 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 5899/446, 6798/2060?
Answer: GCF of Numerators as per given numbers 5899/446, 6798/2060 is
GCF of Numerators i.e. for 5899,6798 is 1
LCM of denominators i.e. for 446,2060 is 459380.
Thus, GCF of Fractions is 1/459380.Finally, GCF of Fractions for 5899/446, 6798/2060 is 1/459380.