Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8673/227,5498/1472
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 8673,5498
Greatest Common Factor of Numerators i.e. GCF of 8673,5498 is 1 .
LCM of Denominators means LCM of 227,1472 as per the given fractions.
LCM of 227,1472 is 334144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8673,5498
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8673
List of positive integer factors of 8673 that divides 8673 without a remainder.
1,3,7,21,49,59,147,177,413,1239,2891,8673
Factors of 5498
List of positive integer factors of 5498 that divides 5498 without a remainder.
1,2,2749,5498
Greatest Common Factor
We found the factors 8673,5498 . The biggest common factor number is the GCF number.
So the greatest common factor 8673,5498 is 1.
Lets's calculate LCM of 227,1472
Given numbers has no common factors except 1. So, there LCM is their product i.e 334144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334144
Therefore, the GCF of Fractions 8673/227,5498/1472 is 1/334144
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 227,1472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,1472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,1472) x common factors =1 x 1 = 1
LCM(227,1472) = ( 227 × 1472 ) / 1
LCM(227,1472) = 334144 / 1
LCM(227,1472) = 334144
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 8673/227, 5498/1472?
Answer: GCF of Numerators as per given numbers 8673/227, 5498/1472 is
GCF of Numerators i.e. for 8673,5498 is 1
LCM of denominators i.e. for 227,1472 is 334144.
Thus, GCF of Fractions is 1/334144.Finally, GCF of Fractions for 8673/227, 5498/1472 is 1/334144.