Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 226/19,401/1796
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 226,401
Greatest Common Factor of Numerators i.e. GCF of 226,401 is 1 .
LCM of Denominators means LCM of 19,1796 as per the given fractions.
LCM of 19,1796 is 34124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 226,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Greatest Common Factor
We found the factors 226,401 . The biggest common factor number is the GCF number.
So the greatest common factor 226,401 is 1.
Lets's calculate LCM of 19,1796
Given numbers has no common factors except 1. So, there LCM is their product i.e 34124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34124
Therefore, the GCF of Fractions 226/19,401/1796 is 1/34124
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 19,1796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,1796) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,1796) x common factors =1 x 1 = 1
LCM(19,1796) = ( 19 × 1796 ) / 1
LCM(19,1796) = 34124 / 1
LCM(19,1796) = 34124
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 226/19, 401/1796?
Answer: GCF of Numerators as per given numbers 226/19, 401/1796 is
GCF of Numerators i.e. for 226,401 is 1
LCM of denominators i.e. for 19,1796 is 34124.
Thus, GCF of Fractions is 1/34124.Finally, GCF of Fractions for 226/19, 401/1796 is 1/34124.