Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 373/113,5449/289
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 373,5449
Greatest Common Factor of Numerators i.e. GCF of 373,5449 is 1 .
LCM of Denominators means LCM of 113,289 as per the given fractions.
LCM of 113,289 is 32657 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 373,5449
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Factors of 5449
List of positive integer factors of 5449 that divides 5449 without a remainder.
1,5449
Greatest Common Factor
We found the factors 373,5449 . The biggest common factor number is the GCF number.
So the greatest common factor 373,5449 is 1.
Lets's calculate LCM of 113,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 32657
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32657
Therefore, the GCF of Fractions 373/113,5449/289 is 1/32657
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 113,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,289) x common factors =1 x 1 = 1
LCM(113,289) = ( 113 × 289 ) / 1
LCM(113,289) = 32657 / 1
LCM(113,289) = 32657
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 373/113, 5449/289?
Answer: GCF of Numerators as per given numbers 373/113, 5449/289 is
GCF of Numerators i.e. for 373,5449 is 1
LCM of denominators i.e. for 113,289 is 32657.
Thus, GCF of Fractions is 1/32657.Finally, GCF of Fractions for 373/113, 5449/289 is 1/32657.