Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 571/57,189/28,602/89
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 571,189,602
Greatest Common Factor of Numerators i.e. GCF of 571,189,602 is 1 .
LCM of Denominators means LCM of 57,28,89 as per the given fractions.
LCM of 57,28,89 is 142044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 571,189,602
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 571,189,602 . The biggest common factor number is the GCF number.
So the greatest common factor 571,189,602 is 1.
Lets's calculate LCM of 57,28,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 142044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142044
Therefore, the GCF of Fractions 571/57,189/28,602/89 is 1/142044
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 57,28,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,28,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,28,89) x common factors =1 x 1 = 1
LCM(57,28,89) = ( 57 × 28 × 89 ) / 1
LCM(57,28,89) = 142044 / 1
LCM(57,28,89) = 142044
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 571/57, 189/28, 602/89?
Answer: GCF of Numerators as per given numbers 571/57, 189/28, 602/89 is
GCF of Numerators i.e. for 571,189,602 is 1
LCM of denominators i.e. for 57,28,89 is 142044.
Thus, GCF of Fractions is 1/142044.Finally, GCF of Fractions for 571/57, 189/28, 602/89 is 1/142044.