Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9227/19,5045/163
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 9227,5045
Greatest Common Factor of Numerators i.e. GCF of 9227,5045 is 1 .
LCM of Denominators means LCM of 19,163 as per the given fractions.
LCM of 19,163 is 3097 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9227,5045
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9227
List of positive integer factors of 9227 that divides 9227 without a remainder.
1,9227
Factors of 5045
List of positive integer factors of 5045 that divides 5045 without a remainder.
1,5,1009,5045
Greatest Common Factor
We found the factors 9227,5045 . The biggest common factor number is the GCF number.
So the greatest common factor 9227,5045 is 1.
Lets's calculate LCM of 19,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 3097
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3097
Therefore, the GCF of Fractions 9227/19,5045/163 is 1/3097
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 19,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,163) x common factors =1 x 1 = 1
LCM(19,163) = ( 19 × 163 ) / 1
LCM(19,163) = 3097 / 1
LCM(19,163) = 3097
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 9227/19, 5045/163?
Answer: GCF of Numerators as per given numbers 9227/19, 5045/163 is
GCF of Numerators i.e. for 9227,5045 is 1
LCM of denominators i.e. for 19,163 is 3097.
Thus, GCF of Fractions is 1/3097.Finally, GCF of Fractions for 9227/19, 5045/163 is 1/3097.