Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 483/10,540/36,131/48
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 483,540,131
Greatest Common Factor of Numerators i.e. GCF of 483,540,131 is 1 .
LCM of Denominators means LCM of 10,36,48 as per the given fractions.
LCM of 10,36,48 is 720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 483,540,131
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
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 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Greatest Common Factor
We found the factors 483,540,131 . The biggest common factor number is the GCF number.
So the greatest common factor 483,540,131 is 1.
Lets's calculate LCM of 10,36,48
2 | 10, 36, 48 |
2 | 5, 18, 24 |
3 | 5, 9, 12 |
5, 3, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 4 = 720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/720
Therefore, the GCF of Fractions 483/10,540/36,131/48 is 1/720
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 10,36,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,36,48) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(10,36,48) x common factors =2 x 12 = 24
LCM(10,36,48) = ( 10 × 36 × 48 ) / 24
LCM(10,36,48) = 17280 / 24
LCM(10,36,48) = 720
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 483/10, 540/36, 131/48?
Answer: GCF of Numerators as per given numbers 483/10, 540/36, 131/48 is
GCF of Numerators i.e. for 483,540,131 is 1
LCM of denominators i.e. for 10,36,48 is 720.
Thus, GCF of Fractions is 1/720.Finally, GCF of Fractions for 483/10, 540/36, 131/48 is 1/720.