Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 344/384,393/298
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 344,393
Greatest Common Factor of Numerators i.e. GCF of 344,393 is 1 .
LCM of Denominators means LCM of 384,298 as per the given fractions.
LCM of 384,298 is 57216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 344,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Greatest Common Factor
We found the factors 344,393 . The biggest common factor number is the GCF number.
So the greatest common factor 344,393 is 1.
Lets's calculate LCM of 384,298
2 | 384, 298 |
192, 149 |
∴ So the LCM of the given numbers is 2 x 192 x 149 = 57216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57216
Therefore, the GCF of Fractions 344/384,393/298 is 1/57216
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 384,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(384,298) x common factors =2 x 1 = 2
LCM(384,298) = ( 384 × 298 ) / 2
LCM(384,298) = 114432 / 2
LCM(384,298) = 57216
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 344/384, 393/298?
Answer: GCF of Numerators as per given numbers 344/384, 393/298 is
GCF of Numerators i.e. for 344,393 is 1
LCM of denominators i.e. for 384,298 is 57216.
Thus, GCF of Fractions is 1/57216.Finally, GCF of Fractions for 344/384, 393/298 is 1/57216.