Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 600/36,483/3117
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 600,483
Greatest Common Factor of Numerators i.e. GCF of 600,483 is 3 .
LCM of Denominators means LCM of 36,3117 as per the given fractions.
LCM of 36,3117 is 37404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 600,483
3 | 600, 483 |
200, 161 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 600,483 . The biggest common factor number is the GCF number.
So the greatest common factor 600,483 is 3.
Lets's calculate LCM of 36,3117
3 | 36, 3117 |
12, 1039 |
∴ So the LCM of the given numbers is 3 x 12 x 1039 = 37404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/37404
Therefore, the GCF of Fractions 600/36,483/3117 is 3/37404
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 36,3117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,3117) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(36,3117) x common factors =3 x 1 = 3
LCM(36,3117) = ( 36 × 3117 ) / 3
LCM(36,3117) = 112212 / 3
LCM(36,3117) = 37404
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 600/36, 483/3117?
Answer: GCF of Numerators as per given numbers 600/36, 483/3117 is
GCF of Numerators i.e. for 600,483 is 3
LCM of denominators i.e. for 36,3117 is 37404.
Thus, GCF of Fractions is 3/37404.Finally, GCF of Fractions for 600/36, 483/3117 is 3/37404.