Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3105/17,5419/217
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 3105,5419
Greatest Common Factor of Numerators i.e. GCF of 3105,5419 is 1 .
LCM of Denominators means LCM of 17,217 as per the given fractions.
LCM of 17,217 is 3689 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3105,5419
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3105
List of positive integer factors of 3105 that divides 3105 without a remainder.
1,3,5,9,15,23,27,45,69,115,135,207,345,621,1035,3105
Factors of 5419
List of positive integer factors of 5419 that divides 5419 without a remainder.
1,5419
Greatest Common Factor
We found the factors 3105,5419 . The biggest common factor number is the GCF number.
So the greatest common factor 3105,5419 is 1.
Lets's calculate LCM of 17,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 3689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3689
Therefore, the GCF of Fractions 3105/17,5419/217 is 1/3689
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 17,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,217) x common factors =1 x 1 = 1
LCM(17,217) = ( 17 × 217 ) / 1
LCM(17,217) = 3689 / 1
LCM(17,217) = 3689
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 3105/17, 5419/217?
Answer: GCF of Numerators as per given numbers 3105/17, 5419/217 is
GCF of Numerators i.e. for 3105,5419 is 1
LCM of denominators i.e. for 17,217 is 3689.
Thus, GCF of Fractions is 1/3689.Finally, GCF of Fractions for 3105/17, 5419/217 is 1/3689.