Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9019/524,5513/587
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 9019,5513
Greatest Common Factor of Numerators i.e. GCF of 9019,5513 is 1 .
LCM of Denominators means LCM of 524,587 as per the given fractions.
LCM of 524,587 is 307588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9019,5513
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9019
List of positive integer factors of 9019 that divides 9019 without a remainder.
1,29,311,9019
Factors of 5513
List of positive integer factors of 5513 that divides 5513 without a remainder.
1,37,149,5513
Greatest Common Factor
We found the factors 9019,5513 . The biggest common factor number is the GCF number.
So the greatest common factor 9019,5513 is 1.
Lets's calculate LCM of 524,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 307588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307588
Therefore, the GCF of Fractions 9019/524,5513/587 is 1/307588
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 524,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(524,587) x common factors =1 x 1 = 1
LCM(524,587) = ( 524 × 587 ) / 1
LCM(524,587) = 307588 / 1
LCM(524,587) = 307588
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 9019/524, 5513/587?
Answer: GCF of Numerators as per given numbers 9019/524, 5513/587 is
GCF of Numerators i.e. for 9019,5513 is 1
LCM of denominators i.e. for 524,587 is 307588.
Thus, GCF of Fractions is 1/307588.Finally, GCF of Fractions for 9019/524, 5513/587 is 1/307588.