Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4655/263,5937/4468
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 4655,5937
Greatest Common Factor of Numerators i.e. GCF of 4655,5937 is 1 .
LCM of Denominators means LCM of 263,4468 as per the given fractions.
LCM of 263,4468 is 1175084 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4655,5937
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4655
List of positive integer factors of 4655 that divides 4655 without a remainder.
1,5,7,19,35,49,95,133,245,665,931,4655
Factors of 5937
List of positive integer factors of 5937 that divides 5937 without a remainder.
1,3,1979,5937
Greatest Common Factor
We found the factors 4655,5937 . The biggest common factor number is the GCF number.
So the greatest common factor 4655,5937 is 1.
Lets's calculate LCM of 263,4468
Given numbers has no common factors except 1. So, there LCM is their product i.e 1175084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1175084
Therefore, the GCF of Fractions 4655/263,5937/4468 is 1/1175084
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 263,4468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,4468) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,4468) x common factors =1 x 1 = 1
LCM(263,4468) = ( 263 × 4468 ) / 1
LCM(263,4468) = 1175084 / 1
LCM(263,4468) = 1175084
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 4655/263, 5937/4468?
Answer: GCF of Numerators as per given numbers 4655/263, 5937/4468 is
GCF of Numerators i.e. for 4655,5937 is 1
LCM of denominators i.e. for 263,4468 is 1175084.
Thus, GCF of Fractions is 1/1175084.Finally, GCF of Fractions for 4655/263, 5937/4468 is 1/1175084.