Use our free GCF of Fractions Calculator tool to compute the GCF of 8098/183, 2708/1728 i.e 2/105408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8098/183, 2708/1728.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8098/183,2708/1728
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 8098/183,2708/1728, numerators are 8098,2708
Denominators are 183,1728
The GCF of 8098,2708 is 2 .
LCM of 183,1728 is 105408.
The greatest common factor of 8098/183,2708/1728 = [GCF of 8098,2708]/[LCM of 183,1728]= 2/105408
Therefore, the GCF of 8098/183,2708/1728 is 2/105408.
To find the highest common factor of 8098,2708, we have to find the factors of both numbers and list the highest common factor.
The factors of 8098 are 1, 2, 4049, 8098
The factors of 2708 are 1, 2, 4, 677, 1354, 2708
The HCF of 8098,2708 is 2.
Lets's calculate GCF of 8098,2708
2 | 8098, 2708 |
4049, 1354 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 8098
:1,2,4049,8098
Now, list down the factors of 2708
:1,2,4,677,1354,2708
Greatest Common Factor
We found the factors 8098,2708 . The biggest common factor number is the GCF number.
So the greatest common factor 8098,2708 is 2.
Lets's calculate LCM of 183,1728
3 | 183, 1728 |
61, 576 |
∴ So the LCM of the given numbers is 3 x 61 x 576 = 105408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/105408
Therefore, the GCF of Fractions 8098/183,2708/1728 is 2/105408
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 183,1728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,1728) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,1728) x common factors =3 x 1 = 3
LCM(183,1728) = ( 183 × 1728 ) / 3
LCM(183,1728) = 316224 / 3
LCM(183,1728) = 105408
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8098,2708?
The HCF of 8098,2708 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 8098/183, 2708/1728?
Answer: GCF of Numerators as per given numbers 8098/183, 2708/1728 is
GCF of Numerators i.e. for 8098,2708 is 2
LCM of denominators i.e. for 183,1728 is 105408.
Thus, GCF of Fractions is 2/105408.Finally, GCF of Fractions for 8098/183, 2708/1728 is 2/105408.