Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 393/53,298/1889
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 393,298
Greatest Common Factor of Numerators i.e. GCF of 393,298 is 1 .
LCM of Denominators means LCM of 53,1889 as per the given fractions.
LCM of 53,1889 is 100117 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 393,298
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Greatest Common Factor
We found the factors 393,298 . The biggest common factor number is the GCF number.
So the greatest common factor 393,298 is 1.
Lets's calculate LCM of 53,1889
Given numbers has no common factors except 1. So, there LCM is their product i.e 100117
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100117
Therefore, the GCF of Fractions 393/53,298/1889 is 1/100117
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 53,1889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,1889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,1889) x common factors =1 x 1 = 1
LCM(53,1889) = ( 53 × 1889 ) / 1
LCM(53,1889) = 100117 / 1
LCM(53,1889) = 100117
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 393/53, 298/1889?
Answer: GCF of Numerators as per given numbers 393/53, 298/1889 is
GCF of Numerators i.e. for 393,298 is 1
LCM of denominators i.e. for 53,1889 is 100117.
Thus, GCF of Fractions is 1/100117.Finally, GCF of Fractions for 393/53, 298/1889 is 1/100117.