Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 568/85,4587/838
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 568,4587
Greatest Common Factor of Numerators i.e. GCF of 568,4587 is 1 .
LCM of Denominators means LCM of 85,838 as per the given fractions.
LCM of 85,838 is 71230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 568,4587
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 4587
List of positive integer factors of 4587 that divides 4587 without a remainder.
1,3,11,33,139,417,1529,4587
Greatest Common Factor
We found the factors 568,4587 . The biggest common factor number is the GCF number.
So the greatest common factor 568,4587 is 1.
Lets's calculate LCM of 85,838
Given numbers has no common factors except 1. So, there LCM is their product i.e 71230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71230
Therefore, the GCF of Fractions 568/85,4587/838 is 1/71230
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 85,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,838) x common factors =1 x 1 = 1
LCM(85,838) = ( 85 × 838 ) / 1
LCM(85,838) = 71230 / 1
LCM(85,838) = 71230
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 568/85, 4587/838?
Answer: GCF of Numerators as per given numbers 568/85, 4587/838 is
GCF of Numerators i.e. for 568,4587 is 1
LCM of denominators i.e. for 85,838 is 71230.
Thus, GCF of Fractions is 1/71230.Finally, GCF of Fractions for 568/85, 4587/838 is 1/71230.