Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8004/27,6108/489
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 8004,6108
Greatest Common Factor of Numerators i.e. GCF of 8004,6108 is 12 .
LCM of Denominators means LCM of 27,489 as per the given fractions.
LCM of 27,489 is 4401 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8004,6108
2 | 8004, 6108 |
2 | 4002, 3054 |
3 | 2001, 1527 |
667, 509 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 8004
List of positive integer factors of 8004 that divides 8004 without a remainder.
1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004
Factors of 6108
List of positive integer factors of 6108 that divides 6108 without a remainder.
1,2,3,4,6,12,509,1018,1527,2036,3054,6108
Greatest Common Factor
We found the factors 8004,6108 . The biggest common factor number is the GCF number.
So the greatest common factor 8004,6108 is 12.
Lets's calculate LCM of 27,489
3 | 27, 489 |
9, 163 |
∴ So the LCM of the given numbers is 3 x 9 x 163 = 4401
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4401
Therefore, the GCF of Fractions 8004/27,6108/489 is 12/4401
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 27,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,489) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(27,489) x common factors =3 x 1 = 3
LCM(27,489) = ( 27 × 489 ) / 3
LCM(27,489) = 13203 / 3
LCM(27,489) = 4401
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 8004/27, 6108/489?
Answer: GCF of Numerators as per given numbers 8004/27, 6108/489 is
GCF of Numerators i.e. for 8004,6108 is 12
LCM of denominators i.e. for 27,489 is 4401.
Thus, GCF of Fractions is 12/4401.Finally, GCF of Fractions for 8004/27, 6108/489 is 12/4401.