Use our free GCF of Fractions Calculator tool to compute the GCF of 2798/245, 6558/8343 i.e 2/2044035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2798/245, 6558/8343.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2798/245,6558/8343
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 2798/245,6558/8343, numerators are 2798,6558
Denominators are 245,8343
The GCF of 2798,6558 is 2 .
LCM of 245,8343 is 2044035.
The greatest common factor of 2798/245,6558/8343 = [GCF of 2798,6558]/[LCM of 245,8343]= 2/2044035
Therefore, the GCF of 2798/245,6558/8343 is 2/2044035.
To find the highest common factor of 2798,6558, we have to find the factors of both numbers and list the highest common factor.
The factors of 2798 are 1, 2, 1399, 2798
The factors of 6558 are 1, 2, 3, 6, 1093, 2186, 3279, 6558
The HCF of 2798,6558 is 2.
Lets's calculate GCF of 2798,6558
2 | 2798, 6558 |
1399, 3279 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 2798
:1,2,1399,2798
Now, list down the factors of 6558
:1,2,3,6,1093,2186,3279,6558
Greatest Common Factor
We found the factors 2798,6558 . The biggest common factor number is the GCF number.
So the greatest common factor 2798,6558 is 2.
Lets's calculate LCM of 245,8343
Given numbers has no common factors except 1. So, there LCM is their product i.e 2044035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2044035
Therefore, the GCF of Fractions 2798/245,6558/8343 is 2/2044035
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 245,8343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,8343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,8343) x common factors =1 x 1 = 1
LCM(245,8343) = ( 245 × 8343 ) / 1
LCM(245,8343) = 2044035 / 1
LCM(245,8343) = 2044035
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2798,6558?
The HCF of 2798,6558 is 2
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 2798/245, 6558/8343?
Answer: GCF of Numerators as per given numbers 2798/245, 6558/8343 is
GCF of Numerators i.e. for 2798,6558 is 2
LCM of denominators i.e. for 245,8343 is 2044035.
Thus, GCF of Fractions is 2/2044035.Finally, GCF of Fractions for 2798/245, 6558/8343 is 2/2044035.