Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2768/827,2311/226
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 2768,2311
Greatest Common Factor of Numerators i.e. GCF of 2768,2311 is 1 .
LCM of Denominators means LCM of 827,226 as per the given fractions.
LCM of 827,226 is 186902 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2768,2311
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2768
List of positive integer factors of 2768 that divides 2768 without a remainder.
1,2,4,8,16,173,346,692,1384,2768
Factors of 2311
List of positive integer factors of 2311 that divides 2311 without a remainder.
1,2311
Greatest Common Factor
We found the factors 2768,2311 . The biggest common factor number is the GCF number.
So the greatest common factor 2768,2311 is 1.
Lets's calculate LCM of 827,226
Given numbers has no common factors except 1. So, there LCM is their product i.e 186902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186902
Therefore, the GCF of Fractions 2768/827,2311/226 is 1/186902
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 827,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,226) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,226) x common factors =1 x 1 = 1
LCM(827,226) = ( 827 × 226 ) / 1
LCM(827,226) = 186902 / 1
LCM(827,226) = 186902
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 2768/827, 2311/226?
Answer: GCF of Numerators as per given numbers 2768/827, 2311/226 is
GCF of Numerators i.e. for 2768,2311 is 1
LCM of denominators i.e. for 827,226 is 186902.
Thus, GCF of Fractions is 1/186902.Finally, GCF of Fractions for 2768/827, 2311/226 is 1/186902.