Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6655/18,3403/959
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 6655,3403
Greatest Common Factor of Numerators i.e. GCF of 6655,3403 is 1 .
LCM of Denominators means LCM of 18,959 as per the given fractions.
LCM of 18,959 is 17262 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6655,3403
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6655
List of positive integer factors of 6655 that divides 6655 without a remainder.
1,5,11,55,121,605,1331,6655
Factors of 3403
List of positive integer factors of 3403 that divides 3403 without a remainder.
1,41,83,3403
Greatest Common Factor
We found the factors 6655,3403 . The biggest common factor number is the GCF number.
So the greatest common factor 6655,3403 is 1.
Lets's calculate LCM of 18,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 17262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17262
Therefore, the GCF of Fractions 6655/18,3403/959 is 1/17262
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 18,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,959) x common factors =1 x 1 = 1
LCM(18,959) = ( 18 × 959 ) / 1
LCM(18,959) = 17262 / 1
LCM(18,959) = 17262
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 6655/18, 3403/959?
Answer: GCF of Numerators as per given numbers 6655/18, 3403/959 is
GCF of Numerators i.e. for 6655,3403 is 1
LCM of denominators i.e. for 18,959 is 17262.
Thus, GCF of Fractions is 1/17262.Finally, GCF of Fractions for 6655/18, 3403/959 is 1/17262.