Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/589,5743/1156
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 34,5743
Greatest Common Factor of Numerators i.e. GCF of 34,5743 is 1 .
LCM of Denominators means LCM of 589,1156 as per the given fractions.
LCM of 589,1156 is 680884 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,5743
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 5743
List of positive integer factors of 5743 that divides 5743 without a remainder.
1,5743
Greatest Common Factor
We found the factors 34,5743 . The biggest common factor number is the GCF number.
So the greatest common factor 34,5743 is 1.
Lets's calculate LCM of 589,1156
Given numbers has no common factors except 1. So, there LCM is their product i.e 680884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/680884
Therefore, the GCF of Fractions 34/589,5743/1156 is 1/680884
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 589,1156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,1156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,1156) x common factors =1 x 1 = 1
LCM(589,1156) = ( 589 × 1156 ) / 1
LCM(589,1156) = 680884 / 1
LCM(589,1156) = 680884
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 34/589, 5743/1156?
Answer: GCF of Numerators as per given numbers 34/589, 5743/1156 is
GCF of Numerators i.e. for 34,5743 is 1
LCM of denominators i.e. for 589,1156 is 680884.
Thus, GCF of Fractions is 1/680884.Finally, GCF of Fractions for 34/589, 5743/1156 is 1/680884.