Use our free GCF of Fractions Calculator tool to compute the GCF of 28/582, 96/338, 310/669 i.e 2/21933834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/582, 96/338, 310/669.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/582,96/338,310/669
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 28/582,96/338,310/669, numerators are 28,96,310
Denominators are 582,338,669
The GCF of 28,96,310 is 2 .
LCM of 582,338,669 is 21933834.
The greatest common factor of 28/582,96/338,310/669 = [GCF of 28,96,310]/[LCM of 582,338,669]= 2/21933834
Therefore, the GCF of 28/582,96/338,310/669 is 2/21933834.
To find the highest common factor of 28,96,310, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310
The HCF of 28,96,310 is 2.
Lets's calculate GCF of 28,96,310
2 | 28, 96, 310 |
14, 48, 155 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 310
:1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 28,96,310 . The biggest common factor number is the GCF number.
So the greatest common factor 28,96,310 is 2.
Lets's calculate LCM of 582,338,669
2 | 582, 338, 669 |
3 | 291, 169, 669 |
97, 169, 223 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 169 x 223 = 21933834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21933834
Therefore, the GCF of Fractions 28/582,96/338,310/669 is 2/21933834
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 582,338,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,338,669) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(582,338,669) x common factors =1 x 6 = 6
LCM(582,338,669) = ( 582 × 338 × 669 ) / 6
LCM(582,338,669) = 131603004 / 6
LCM(582,338,669) = 21933834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,96,310?
The HCF of 28,96,310 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 28/582, 96/338, 310/669?
Answer: GCF of Numerators as per given numbers 28/582, 96/338, 310/669 is
GCF of Numerators i.e. for 28,96,310 is 2
LCM of denominators i.e. for 582,338,669 is 21933834.
Thus, GCF of Fractions is 2/21933834.Finally, GCF of Fractions for 28/582, 96/338, 310/669 is 2/21933834.