Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2096/668,2173/5359
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 2096,2173
Greatest Common Factor of Numerators i.e. GCF of 2096,2173 is 1 .
LCM of Denominators means LCM of 668,5359 as per the given fractions.
LCM of 668,5359 is 3579812 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2096,2173
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2096
List of positive integer factors of 2096 that divides 2096 without a remainder.
1,2,4,8,16,131,262,524,1048,2096
Factors of 2173
List of positive integer factors of 2173 that divides 2173 without a remainder.
1,41,53,2173
Greatest Common Factor
We found the factors 2096,2173 . The biggest common factor number is the GCF number.
So the greatest common factor 2096,2173 is 1.
Lets's calculate LCM of 668,5359
Given numbers has no common factors except 1. So, there LCM is their product i.e 3579812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3579812
Therefore, the GCF of Fractions 2096/668,2173/5359 is 1/3579812
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 668,5359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,5359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(668,5359) x common factors =1 x 1 = 1
LCM(668,5359) = ( 668 × 5359 ) / 1
LCM(668,5359) = 3579812 / 1
LCM(668,5359) = 3579812
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 2096/668, 2173/5359?
Answer: GCF of Numerators as per given numbers 2096/668, 2173/5359 is
GCF of Numerators i.e. for 2096,2173 is 1
LCM of denominators i.e. for 668,5359 is 3579812.
Thus, GCF of Fractions is 1/3579812.Finally, GCF of Fractions for 2096/668, 2173/5359 is 1/3579812.