Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 574/18,216/21,891/582
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 574,216,891
Greatest Common Factor of Numerators i.e. GCF of 574,216,891 is 1 .
LCM of Denominators means LCM of 18,21,582 as per the given fractions.
LCM of 18,21,582 is 12222 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 574,216,891
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 574,216,891 . The biggest common factor number is the GCF number.
So the greatest common factor 574,216,891 is 1.
Lets's calculate LCM of 18,21,582
2 | 18, 21, 582 |
3 | 9, 21, 291 |
3, 7, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 97 = 12222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12222
Therefore, the GCF of Fractions 574/18,216/21,891/582 is 1/12222
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 18,21,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,21,582) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(18,21,582) x common factors =3 x 6 = 18
LCM(18,21,582) = ( 18 × 21 × 582 ) / 18
LCM(18,21,582) = 219996 / 18
LCM(18,21,582) = 12222
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 574/18, 216/21, 891/582?
Answer: GCF of Numerators as per given numbers 574/18, 216/21, 891/582 is
GCF of Numerators i.e. for 574,216,891 is 1
LCM of denominators i.e. for 18,21,582 is 12222.
Thus, GCF of Fractions is 1/12222.Finally, GCF of Fractions for 574/18, 216/21, 891/582 is 1/12222.