Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 519/20,832/60,149/330
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 519,832,149
Greatest Common Factor of Numerators i.e. GCF of 519,832,149 is 1 .
LCM of Denominators means LCM of 20,60,330 as per the given fractions.
LCM of 20,60,330 is 660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 519,832,149
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Greatest Common Factor
We found the factors 519,832,149 . The biggest common factor number is the GCF number.
So the greatest common factor 519,832,149 is 1.
Lets's calculate LCM of 20,60,330
2 | 20, 60, 330 |
2 | 10, 30, 165 |
3 | 5, 15, 165 |
5 | 5, 5, 55 |
1, 1, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 11 = 660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/660
Therefore, the GCF of Fractions 519/20,832/60,149/330 is 1/660
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 20,60,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,60,330) = 10
common factors(in case of two or more numbers have common factors) = 60
GCF(20,60,330) x common factors =10 x 60 = 600
LCM(20,60,330) = ( 20 × 60 × 330 ) / 600
LCM(20,60,330) = 396000 / 600
LCM(20,60,330) = 660
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 519/20, 832/60, 149/330?
Answer: GCF of Numerators as per given numbers 519/20, 832/60, 149/330 is
GCF of Numerators i.e. for 519,832,149 is 1
LCM of denominators i.e. for 20,60,330 is 660.
Thus, GCF of Fractions is 1/660.Finally, GCF of Fractions for 519/20, 832/60, 149/330 is 1/660.