Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 405/31,519/4511
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 405,519
Greatest Common Factor of Numerators i.e. GCF of 405,519 is 3 .
LCM of Denominators means LCM of 31,4511 as per the given fractions.
LCM of 31,4511 is 139841 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 405,519
3 | 405, 519 |
135, 173 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 405,519 . The biggest common factor number is the GCF number.
So the greatest common factor 405,519 is 3.
Lets's calculate LCM of 31,4511
Given numbers has no common factors except 1. So, there LCM is their product i.e 139841
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/139841
Therefore, the GCF of Fractions 405/31,519/4511 is 3/139841
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 31,4511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,4511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,4511) x common factors =1 x 1 = 1
LCM(31,4511) = ( 31 × 4511 ) / 1
LCM(31,4511) = 139841 / 1
LCM(31,4511) = 139841
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 405/31, 519/4511?
Answer: GCF of Numerators as per given numbers 405/31, 519/4511 is
GCF of Numerators i.e. for 405,519 is 3
LCM of denominators i.e. for 31,4511 is 139841.
Thus, GCF of Fractions is 3/139841.Finally, GCF of Fractions for 405/31, 519/4511 is 3/139841.