Use our free GCF of Fractions Calculator tool to compute the GCF of 5979/835, 4476/4549 i.e 3/3798415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5979/835, 4476/4549.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5979/835,4476/4549
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 5979/835,4476/4549, numerators are 5979,4476
Denominators are 835,4549
The GCF of 5979,4476 is 3 .
LCM of 835,4549 is 3798415.
The greatest common factor of 5979/835,4476/4549 = [GCF of 5979,4476]/[LCM of 835,4549]= 3/3798415
Therefore, the GCF of 5979/835,4476/4549 is 3/3798415.
To find the highest common factor of 5979,4476, we have to find the factors of both numbers and list the highest common factor.
The factors of 5979 are 1, 3, 1993, 5979
The factors of 4476 are 1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476
The HCF of 5979,4476 is 3.
Lets's calculate GCF of 5979,4476
3 | 5979, 4476 |
1993, 1492 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 5979
:1,3,1993,5979
Now, list down the factors of 4476
:1,2,3,4,6,12,373,746,1119,1492,2238,4476
Greatest Common Factor
We found the factors 5979,4476 . The biggest common factor number is the GCF number.
So the greatest common factor 5979,4476 is 3.
Lets's calculate LCM of 835,4549
Given numbers has no common factors except 1. So, there LCM is their product i.e 3798415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3798415
Therefore, the GCF of Fractions 5979/835,4476/4549 is 3/3798415
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 835,4549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,4549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,4549) x common factors =1 x 1 = 1
LCM(835,4549) = ( 835 × 4549 ) / 1
LCM(835,4549) = 3798415 / 1
LCM(835,4549) = 3798415
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5979,4476?
The HCF of 5979,4476 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 5979/835, 4476/4549?
Answer: GCF of Numerators as per given numbers 5979/835, 4476/4549 is
GCF of Numerators i.e. for 5979,4476 is 3
LCM of denominators i.e. for 835,4549 is 3798415.
Thus, GCF of Fractions is 3/3798415.Finally, GCF of Fractions for 5979/835, 4476/4549 is 3/3798415.