GCF of 2431/829, 6511/2946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2431/829, 6511/2946 i.e 17/2442234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2431/829, 6511/2946.
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 2431/829,6511/2946?
Given fractions are 2431/829,6511/2946
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 2431/829,6511/2946, numerators are 2431,6511
Denominators are 829,2946
The GCF of 2431,6511 is 17 .
LCM of 829,2946 is 2442234.
The greatest common factor of 2431/829,6511/2946 = [GCF of 2431,6511]/[LCM of 829,2946]= 17/2442234
Therefore, the GCF of 2431/829,6511/2946 is 17/2442234.
To find the highest common factor of 2431,6511, we have to find the factors of both numbers and list the highest common factor.
The factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431
The factors of 6511 are 1, 17, 383, 6511
The HCF of 2431,6511 is 17.
Lets's calculate GCF of 2431,6511
| 17 | 2431, 6511 |
| 143, 383 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 2431,6511 By Matching Biggest Common Factor Method
Now, list down the factors of 2431
:1,11,13,17,143,187,221,2431
Now, list down the factors of 6511
:1,17,383,6511
Greatest Common Factor
We found the factors 2431,6511 . The biggest common factor number is the GCF number.
So the greatest common factor 2431,6511 is 17.
Lets's calculate LCM of 829,2946
Given numbers has no common factors except 1. So, there LCM is their product i.e 2442234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2442234
Therefore, the GCF of Fractions 2431/829,6511/2946 is 17/2442234
Least Common Multiple of 829,2946 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 829,2946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,2946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,2946) x common factors =1 x 1 = 1
LCM(829,2946) = ( 829 × 2946 ) / 1
LCM(829,2946) = 2442234 / 1
LCM(829,2946) = 2442234
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FAQs on GCF of Fractions of 2431/829, 6511/2946
1. What is the HCF of 2431,6511?
The HCF of 2431,6511 is 17
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 2431/829, 6511/2946?
Answer: GCF of Numerators as per given numbers 2431/829, 6511/2946 is
GCF of Numerators i.e. for 2431,6511 is 17
LCM of denominators i.e. for 829,2946 is 2442234.
Thus, GCF of Fractions is 17/2442234.Finally, GCF of Fractions for 2431/829, 6511/2946 is 17/2442234.