Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 589/82,564/293
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 589,564
Greatest Common Factor of Numerators i.e. GCF of 589,564 is 1 .
LCM of Denominators means LCM of 82,293 as per the given fractions.
LCM of 82,293 is 24026 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 589,564
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 589,564 . The biggest common factor number is the GCF number.
So the greatest common factor 589,564 is 1.
Lets's calculate LCM of 82,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 24026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24026
Therefore, the GCF of Fractions 589/82,564/293 is 1/24026
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 82,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,293) x common factors =1 x 1 = 1
LCM(82,293) = ( 82 × 293 ) / 1
LCM(82,293) = 24026 / 1
LCM(82,293) = 24026
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 589/82, 564/293?
Answer: GCF of Numerators as per given numbers 589/82, 564/293 is
GCF of Numerators i.e. for 589,564 is 1
LCM of denominators i.e. for 82,293 is 24026.
Thus, GCF of Fractions is 1/24026.Finally, GCF of Fractions for 589/82, 564/293 is 1/24026.