Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 482/27,406/8904
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 482,406
Greatest Common Factor of Numerators i.e. GCF of 482,406 is 2 .
LCM of Denominators means LCM of 27,8904 as per the given fractions.
LCM of 27,8904 is 80136 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 482,406
2 | 482, 406 |
241, 203 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 482,406 . The biggest common factor number is the GCF number.
So the greatest common factor 482,406 is 2.
Lets's calculate LCM of 27,8904
3 | 27, 8904 |
9, 2968 |
∴ So the LCM of the given numbers is 3 x 9 x 2968 = 80136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80136
Therefore, the GCF of Fractions 482/27,406/8904 is 2/80136
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 27,8904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,8904) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(27,8904) x common factors =3 x 1 = 3
LCM(27,8904) = ( 27 × 8904 ) / 3
LCM(27,8904) = 240408 / 3
LCM(27,8904) = 80136
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 482/27, 406/8904?
Answer: GCF of Numerators as per given numbers 482/27, 406/8904 is
GCF of Numerators i.e. for 482,406 is 2
LCM of denominators i.e. for 27,8904 is 80136.
Thus, GCF of Fractions is 2/80136.Finally, GCF of Fractions for 482/27, 406/8904 is 2/80136.