GCF of 3003/409, 9191/4947
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3003/409, 9191/4947 i.e 91/2023323 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3003/409, 9191/4947.
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 3003/409,9191/4947?
Given fractions are 3003/409,9191/4947
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 3003/409,9191/4947, numerators are 3003,9191
Denominators are 409,4947
The GCF of 3003,9191 is 91 .
LCM of 409,4947 is 2023323.
The greatest common factor of 3003/409,9191/4947 = [GCF of 3003,9191]/[LCM of 409,4947]= 91/2023323
Therefore, the GCF of 3003/409,9191/4947 is 91/2023323.
To find the highest common factor of 3003,9191, we have to find the factors of both numbers and list the highest common factor.
The factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003
The factors of 9191 are 1, 7, 13, 91, 101, 707, 1313, 9191
The HCF of 3003,9191 is 91.
Lets's calculate GCF of 3003,9191
| 7 | 3003, 9191 |
| 13 | 429, 1313 |
| 33, 101 |
∴ So the GCF of the given numbers is 7 x 13 = 91
Greatest Common Factor of 3003,9191 By Matching Biggest Common Factor Method
Now, list down the factors of 3003
:1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003
Now, list down the factors of 9191
:1,7,13,91,101,707,1313,9191
Greatest Common Factor
We found the factors 3003,9191 . The biggest common factor number is the GCF number.
So the greatest common factor 3003,9191 is 91.
Lets's calculate LCM of 409,4947
Given numbers has no common factors except 1. So, there LCM is their product i.e 2023323
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/2023323
Therefore, the GCF of Fractions 3003/409,9191/4947 is 91/2023323
Least Common Multiple of 409,4947 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 409,4947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,4947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,4947) x common factors =1 x 1 = 1
LCM(409,4947) = ( 409 × 4947 ) / 1
LCM(409,4947) = 2023323 / 1
LCM(409,4947) = 2023323
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3003/409, 9191/4947
1. What is the HCF of 3003,9191?
The HCF of 3003,9191 is 91
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 3003/409, 9191/4947?
Answer: GCF of Numerators as per given numbers 3003/409, 9191/4947 is
GCF of Numerators i.e. for 3003,9191 is 91
LCM of denominators i.e. for 409,4947 is 2023323.
Thus, GCF of Fractions is 91/2023323.Finally, GCF of Fractions for 3003/409, 9191/4947 is 91/2023323.