Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/453,422/215,134/585
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 60,422,134
Greatest Common Factor of Numerators i.e. GCF of 60,422,134 is 2 .
LCM of Denominators means LCM of 453,215,585 as per the given fractions.
LCM of 453,215,585 is 3798405 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,422,134
2 | 60, 422, 134 |
30, 211, 67 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 60,422,134 . The biggest common factor number is the GCF number.
So the greatest common factor 60,422,134 is 2.
Lets's calculate LCM of 453,215,585
3 | 453, 215, 585 |
5 | 151, 215, 195 |
151, 43, 39 |
∴ So the LCM of the given numbers is 3 x 5 x 151 x 43 x 39 = 3798405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3798405
Therefore, the GCF of Fractions 60/453,422/215,134/585 is 2/3798405
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 453,215,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,215,585) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(453,215,585) x common factors =1 x 15 = 15
LCM(453,215,585) = ( 453 × 215 × 585 ) / 15
LCM(453,215,585) = 56976075 / 15
LCM(453,215,585) = 3798405
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 60/453, 422/215, 134/585?
Answer: GCF of Numerators as per given numbers 60/453, 422/215, 134/585 is
GCF of Numerators i.e. for 60,422,134 is 2
LCM of denominators i.e. for 453,215,585 is 3798405.
Thus, GCF of Fractions is 2/3798405.Finally, GCF of Fractions for 60/453, 422/215, 134/585 is 2/3798405.