Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2700/299,9045/381
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 2700,9045
Greatest Common Factor of Numerators i.e. GCF of 2700,9045 is 135 .
LCM of Denominators means LCM of 299,381 as per the given fractions.
LCM of 299,381 is 113919 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2700,9045
3 | 2700, 9045 |
3 | 900, 3015 |
3 | 300, 1005 |
5 | 100, 335 |
20, 67 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 5 = 135
Factors of 2700
List of positive integer factors of 2700 that divides 2700 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700
Factors of 9045
List of positive integer factors of 9045 that divides 9045 without a remainder.
1,3,5,9,15,27,45,67,135,201,335,603,1005,1809,3015,9045
Greatest Common Factor
We found the factors 2700,9045 . The biggest common factor number is the GCF number.
So the greatest common factor 2700,9045 is 135.
Lets's calculate LCM of 299,381
Given numbers has no common factors except 1. So, there LCM is their product i.e 113919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 135/113919
Therefore, the GCF of Fractions 2700/299,9045/381 is 135/113919
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 299,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,381) x common factors =1 x 1 = 1
LCM(299,381) = ( 299 × 381 ) / 1
LCM(299,381) = 113919 / 1
LCM(299,381) = 113919
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 2700/299, 9045/381?
Answer: GCF of Numerators as per given numbers 2700/299, 9045/381 is
GCF of Numerators i.e. for 2700,9045 is 135
LCM of denominators i.e. for 299,381 is 113919.
Thus, GCF of Fractions is 135/113919.Finally, GCF of Fractions for 2700/299, 9045/381 is 135/113919.