Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9123/365,7949/227
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 9123,7949
Greatest Common Factor of Numerators i.e. GCF of 9123,7949 is 1 .
LCM of Denominators means LCM of 365,227 as per the given fractions.
LCM of 365,227 is 82855 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9123,7949
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9123
List of positive integer factors of 9123 that divides 9123 without a remainder.
1,3,3041,9123
Factors of 7949
List of positive integer factors of 7949 that divides 7949 without a remainder.
1,7949
Greatest Common Factor
We found the factors 9123,7949 . The biggest common factor number is the GCF number.
So the greatest common factor 9123,7949 is 1.
Lets's calculate LCM of 365,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 82855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82855
Therefore, the GCF of Fractions 9123/365,7949/227 is 1/82855
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 365,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,227) x common factors =1 x 1 = 1
LCM(365,227) = ( 365 × 227 ) / 1
LCM(365,227) = 82855 / 1
LCM(365,227) = 82855
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 9123/365, 7949/227?
Answer: GCF of Numerators as per given numbers 9123/365, 7949/227 is
GCF of Numerators i.e. for 9123,7949 is 1
LCM of denominators i.e. for 365,227 is 82855.
Thus, GCF of Fractions is 1/82855.Finally, GCF of Fractions for 9123/365, 7949/227 is 1/82855.