Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 167/327,5744/6367
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 167,5744
Greatest Common Factor of Numerators i.e. GCF of 167,5744 is 1 .
LCM of Denominators means LCM of 327,6367 as per the given fractions.
LCM of 327,6367 is 2082009 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 167,5744
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 5744
List of positive integer factors of 5744 that divides 5744 without a remainder.
1,2,4,8,16,359,718,1436,2872,5744
Greatest Common Factor
We found the factors 167,5744 . The biggest common factor number is the GCF number.
So the greatest common factor 167,5744 is 1.
Lets's calculate LCM of 327,6367
Given numbers has no common factors except 1. So, there LCM is their product i.e 2082009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2082009
Therefore, the GCF of Fractions 167/327,5744/6367 is 1/2082009
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 327,6367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,6367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,6367) x common factors =1 x 1 = 1
LCM(327,6367) = ( 327 × 6367 ) / 1
LCM(327,6367) = 2082009 / 1
LCM(327,6367) = 2082009
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 167/327, 5744/6367?
Answer: GCF of Numerators as per given numbers 167/327, 5744/6367 is
GCF of Numerators i.e. for 167,5744 is 1
LCM of denominators i.e. for 327,6367 is 2082009.
Thus, GCF of Fractions is 1/2082009.Finally, GCF of Fractions for 167/327, 5744/6367 is 1/2082009.