Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 409/61,513/5996
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 409,513
Greatest Common Factor of Numerators i.e. GCF of 409,513 is 1 .
LCM of Denominators means LCM of 61,5996 as per the given fractions.
LCM of 61,5996 is 365756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 409,513
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 409,513 . The biggest common factor number is the GCF number.
So the greatest common factor 409,513 is 1.
Lets's calculate LCM of 61,5996
Given numbers has no common factors except 1. So, there LCM is their product i.e 365756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365756
Therefore, the GCF of Fractions 409/61,513/5996 is 1/365756
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 61,5996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,5996) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,5996) x common factors =1 x 1 = 1
LCM(61,5996) = ( 61 × 5996 ) / 1
LCM(61,5996) = 365756 / 1
LCM(61,5996) = 365756
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 409/61, 513/5996?
Answer: GCF of Numerators as per given numbers 409/61, 513/5996 is
GCF of Numerators i.e. for 409,513 is 1
LCM of denominators i.e. for 61,5996 is 365756.
Thus, GCF of Fractions is 1/365756.Finally, GCF of Fractions for 409/61, 513/5996 is 1/365756.