Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/454,540/425,990/146
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 27,540,990
Greatest Common Factor of Numerators i.e. GCF of 27,540,990 is 9 .
LCM of Denominators means LCM of 454,425,146 as per the given fractions.
LCM of 454,425,146 is 14085350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,540,990
3 | 27, 540, 990 |
3 | 9, 180, 330 |
3, 60, 110 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 27,540,990 . The biggest common factor number is the GCF number.
So the greatest common factor 27,540,990 is 9.
Lets's calculate LCM of 454,425,146
2 | 454, 425, 146 |
227, 425, 73 |
∴ So the LCM of the given numbers is 2 x 227 x 425 x 73 = 14085350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/14085350
Therefore, the GCF of Fractions 27/454,540/425,990/146 is 9/14085350
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 454,425,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,425,146) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(454,425,146) x common factors =1 x 2 = 2
LCM(454,425,146) = ( 454 × 425 × 146 ) / 2
LCM(454,425,146) = 28170700 / 2
LCM(454,425,146) = 14085350
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 27/454, 540/425, 990/146?
Answer: GCF of Numerators as per given numbers 27/454, 540/425, 990/146 is
GCF of Numerators i.e. for 27,540,990 is 9
LCM of denominators i.e. for 454,425,146 is 14085350.
Thus, GCF of Fractions is 9/14085350.Finally, GCF of Fractions for 27/454, 540/425, 990/146 is 9/14085350.