Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 576/65,417/83,872/89
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 576,417,872
Greatest Common Factor of Numerators i.e. GCF of 576,417,872 is 1 .
LCM of Denominators means LCM of 65,83,89 as per the given fractions.
LCM of 65,83,89 is 480155 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 576,417,872
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 576,417,872 . The biggest common factor number is the GCF number.
So the greatest common factor 576,417,872 is 1.
Lets's calculate LCM of 65,83,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 480155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/480155
Therefore, the GCF of Fractions 576/65,417/83,872/89 is 1/480155
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 65,83,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,83,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,83,89) x common factors =1 x 1 = 1
LCM(65,83,89) = ( 65 × 83 × 89 ) / 1
LCM(65,83,89) = 480155 / 1
LCM(65,83,89) = 480155
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 576/65, 417/83, 872/89?
Answer: GCF of Numerators as per given numbers 576/65, 417/83, 872/89 is
GCF of Numerators i.e. for 576,417,872 is 1
LCM of denominators i.e. for 65,83,89 is 480155.
Thus, GCF of Fractions is 1/480155.Finally, GCF of Fractions for 576/65, 417/83, 872/89 is 1/480155.