Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 324/6604,403/2709
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 324,403
Greatest Common Factor of Numerators i.e. GCF of 324,403 is 1 .
LCM of Denominators means LCM of 6604,2709 as per the given fractions.
LCM of 6604,2709 is 17890236 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 324,403
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Greatest Common Factor
We found the factors 324,403 . The biggest common factor number is the GCF number.
So the greatest common factor 324,403 is 1.
Lets's calculate LCM of 6604,2709
Given numbers has no common factors except 1. So, there LCM is their product i.e 17890236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17890236
Therefore, the GCF of Fractions 324/6604,403/2709 is 1/17890236
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 6604,2709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6604,2709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6604,2709) x common factors =1 x 1 = 1
LCM(6604,2709) = ( 6604 × 2709 ) / 1
LCM(6604,2709) = 17890236 / 1
LCM(6604,2709) = 17890236
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 324/6604, 403/2709?
Answer: GCF of Numerators as per given numbers 324/6604, 403/2709 is
GCF of Numerators i.e. for 324,403 is 1
LCM of denominators i.e. for 6604,2709 is 17890236.
Thus, GCF of Fractions is 1/17890236.Finally, GCF of Fractions for 324/6604, 403/2709 is 1/17890236.