GCF of 4411/366, 9333/7983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4411/366, 9333/7983 i.e 1/973926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4411/366, 9333/7983.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4411/366,9333/7983?
Given fractions are 4411/366,9333/7983
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 4411/366,9333/7983, numerators are 4411,9333
Denominators are 366,7983
The GCF of 4411,9333 is 1 .
LCM of 366,7983 is 973926.
The greatest common factor of 4411/366,9333/7983 = [GCF of 4411,9333]/[LCM of 366,7983]= 1/973926
Therefore, the GCF of 4411/366,9333/7983 is 1/973926.
To find the highest common factor of 4411,9333, we have to find the factors of both numbers and list the highest common factor.
The factors of 4411 are 1, 11, 401, 4411
The factors of 9333 are 1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333
The HCF of 4411,9333 is 1.
Lets's calculate GCF of 4411,9333
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4411,9333 By Matching Biggest Common Factor Method
Now, list down the factors of 4411
:1,11,401,4411
Now, list down the factors of 9333
:1,3,9,17,51,61,153,183,549,1037,3111,9333
Greatest Common Factor
We found the factors 4411,9333 . The biggest common factor number is the GCF number.
So the greatest common factor 4411,9333 is 1.
Lets's calculate LCM of 366,7983
| 3 | 366, 7983 |
| 122, 2661 |
∴ So the LCM of the given numbers is 3 x 122 x 2661 = 973926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/973926
Therefore, the GCF of Fractions 4411/366,9333/7983 is 1/973926
Least Common Multiple of 366,7983 with GCF Formula
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 366,7983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,7983) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(366,7983) x common factors =3 x 1 = 3
LCM(366,7983) = ( 366 × 7983 ) / 3
LCM(366,7983) = 2921778 / 3
LCM(366,7983) = 973926
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4411/366, 9333/7983
1. What is the HCF of 4411,9333?
The HCF of 4411,9333 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 4411/366, 9333/7983?
Answer: GCF of Numerators as per given numbers 4411/366, 9333/7983 is
GCF of Numerators i.e. for 4411,9333 is 1
LCM of denominators i.e. for 366,7983 is 973926.
Thus, GCF of Fractions is 1/973926.Finally, GCF of Fractions for 4411/366, 9333/7983 is 1/973926.