Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 464/337,5739/1231
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 464,5739
Greatest Common Factor of Numerators i.e. GCF of 464,5739 is 1 .
LCM of Denominators means LCM of 337,1231 as per the given fractions.
LCM of 337,1231 is 414847 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 464,5739
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 5739
List of positive integer factors of 5739 that divides 5739 without a remainder.
1,3,1913,5739
Greatest Common Factor
We found the factors 464,5739 . The biggest common factor number is the GCF number.
So the greatest common factor 464,5739 is 1.
Lets's calculate LCM of 337,1231
Given numbers has no common factors except 1. So, there LCM is their product i.e 414847
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414847
Therefore, the GCF of Fractions 464/337,5739/1231 is 1/414847
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 337,1231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,1231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,1231) x common factors =1 x 1 = 1
LCM(337,1231) = ( 337 × 1231 ) / 1
LCM(337,1231) = 414847 / 1
LCM(337,1231) = 414847
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 464/337, 5739/1231?
Answer: GCF of Numerators as per given numbers 464/337, 5739/1231 is
GCF of Numerators i.e. for 464,5739 is 1
LCM of denominators i.e. for 337,1231 is 414847.
Thus, GCF of Fractions is 1/414847.Finally, GCF of Fractions for 464/337, 5739/1231 is 1/414847.