Use our free GCF of Fractions Calculator tool to compute the GCF of 2233/367, 3963/915 i.e 1/335805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2233/367, 3963/915.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2233/367,3963/915
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2233/367,3963/915, numerators are 2233,3963
Denominators are 367,915
The GCF of 2233,3963 is 1 .
LCM of 367,915 is 335805.
The greatest common factor of 2233/367,3963/915 = [GCF of 2233,3963]/[LCM of 367,915]= 1/335805
Therefore, the GCF of 2233/367,3963/915 is 1/335805.
To find the highest common factor of 2233,3963, we have to find the factors of both numbers and list the highest common factor.
The factors of 2233 are 1, 7, 11, 29, 77, 203, 319, 2233
The factors of 3963 are 1, 3, 1321, 3963
The HCF of 2233,3963 is 1.
Lets's calculate GCF of 2233,3963
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2233
:1,7,11,29,77,203,319,2233
Now, list down the factors of 3963
:1,3,1321,3963
Greatest Common Factor
We found the factors 2233,3963 . The biggest common factor number is the GCF number.
So the greatest common factor 2233,3963 is 1.
Lets's calculate LCM of 367,915
Given numbers has no common factors except 1. So, there LCM is their product i.e 335805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335805
Therefore, the GCF of Fractions 2233/367,3963/915 is 1/335805
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 367,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,915) x common factors =1 x 1 = 1
LCM(367,915) = ( 367 × 915 ) / 1
LCM(367,915) = 335805 / 1
LCM(367,915) = 335805
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2233,3963?
The HCF of 2233,3963 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 2233/367, 3963/915?
Answer: GCF of Numerators as per given numbers 2233/367, 3963/915 is
GCF of Numerators i.e. for 2233,3963 is 1
LCM of denominators i.e. for 367,915 is 335805.
Thus, GCF of Fractions is 1/335805.Finally, GCF of Fractions for 2233/367, 3963/915 is 1/335805.