Use our free GCF of Fractions Calculator tool to compute the GCF of 18/168, 96/579, 310/102 i.e 2/551208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/168, 96/579, 310/102.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/168,96/579,310/102
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 18/168,96/579,310/102, numerators are 18,96,310
Denominators are 168,579,102
The GCF of 18,96,310 is 2 .
LCM of 168,579,102 is 551208.
The greatest common factor of 18/168,96/579,310/102 = [GCF of 18,96,310]/[LCM of 168,579,102]= 2/551208
Therefore, the GCF of 18/168,96/579,310/102 is 2/551208.
To find the highest common factor of 18,96,310, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
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 18,96,310 is 2.
Lets's calculate GCF of 18,96,310
2 | 18, 96, 310 |
9, 48, 155 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 18
:1,2,3,6,9,18
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 18,96,310 . The biggest common factor number is the GCF number.
So the greatest common factor 18,96,310 is 2.
Lets's calculate LCM of 168,579,102
2 | 168, 579, 102 |
3 | 84, 579, 51 |
28, 193, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 28 x 193 x 17 = 551208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/551208
Therefore, the GCF of Fractions 18/168,96/579,310/102 is 2/551208
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 168,579,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,579,102) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(168,579,102) x common factors =3 x 6 = 18
LCM(168,579,102) = ( 168 × 579 × 102 ) / 18
LCM(168,579,102) = 9921744 / 18
LCM(168,579,102) = 551208
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 18,96,310?
The HCF of 18,96,310 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 18/168, 96/579, 310/102?
Answer: GCF of Numerators as per given numbers 18/168, 96/579, 310/102 is
GCF of Numerators i.e. for 18,96,310 is 2
LCM of denominators i.e. for 168,579,102 is 551208.
Thus, GCF of Fractions is 2/551208.Finally, GCF of Fractions for 18/168, 96/579, 310/102 is 2/551208.