GCF of 9303/463, 3309/682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9303/463, 3309/682 i.e 3/315766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9303/463, 3309/682.
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 9303/463,3309/682?
Given fractions are 9303/463,3309/682
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 9303/463,3309/682, numerators are 9303,3309
Denominators are 463,682
The GCF of 9303,3309 is 3 .
LCM of 463,682 is 315766.
The greatest common factor of 9303/463,3309/682 = [GCF of 9303,3309]/[LCM of 463,682]= 3/315766
Therefore, the GCF of 9303/463,3309/682 is 3/315766.
To find the highest common factor of 9303,3309, we have to find the factors of both numbers and list the highest common factor.
The factors of 9303 are 1, 3, 7, 21, 443, 1329, 3101, 9303
The factors of 3309 are 1, 3, 1103, 3309
The HCF of 9303,3309 is 3.
Lets's calculate GCF of 9303,3309
| 3 | 9303, 3309 |
| 3101, 1103 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9303,3309 By Matching Biggest Common Factor Method
Now, list down the factors of 9303
:1,3,7,21,443,1329,3101,9303
Now, list down the factors of 3309
:1,3,1103,3309
Greatest Common Factor
We found the factors 9303,3309 . The biggest common factor number is the GCF number.
So the greatest common factor 9303,3309 is 3.
Lets's calculate LCM of 463,682
Given numbers has no common factors except 1. So, there LCM is their product i.e 315766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/315766
Therefore, the GCF of Fractions 9303/463,3309/682 is 3/315766
Least Common Multiple of 463,682 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 463,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,682) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,682) x common factors =1 x 1 = 1
LCM(463,682) = ( 463 × 682 ) / 1
LCM(463,682) = 315766 / 1
LCM(463,682) = 315766
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9303/463, 3309/682
1. What is the HCF of 9303,3309?
The HCF of 9303,3309 is 3
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 9303/463, 3309/682?
Answer: GCF of Numerators as per given numbers 9303/463, 3309/682 is
GCF of Numerators i.e. for 9303,3309 is 3
LCM of denominators i.e. for 463,682 is 315766.
Thus, GCF of Fractions is 3/315766.Finally, GCF of Fractions for 9303/463, 3309/682 is 3/315766.