GCF of 8229/293, 6721/9428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8229/293, 6721/9428 i.e 13/2762404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8229/293, 6721/9428.
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 8229/293,6721/9428?
Given fractions are 8229/293,6721/9428
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 8229/293,6721/9428, numerators are 8229,6721
Denominators are 293,9428
The GCF of 8229,6721 is 13 .
LCM of 293,9428 is 2762404.
The greatest common factor of 8229/293,6721/9428 = [GCF of 8229,6721]/[LCM of 293,9428]= 13/2762404
Therefore, the GCF of 8229/293,6721/9428 is 13/2762404.
To find the highest common factor of 8229,6721, we have to find the factors of both numbers and list the highest common factor.
The factors of 8229 are 1, 3, 13, 39, 211, 633, 2743, 8229
The factors of 6721 are 1, 11, 13, 47, 143, 517, 611, 6721
The HCF of 8229,6721 is 13.
Lets's calculate GCF of 8229,6721
| 13 | 8229, 6721 |
| 633, 517 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 8229,6721 By Matching Biggest Common Factor Method
Now, list down the factors of 8229
:1,3,13,39,211,633,2743,8229
Now, list down the factors of 6721
:1,11,13,47,143,517,611,6721
Greatest Common Factor
We found the factors 8229,6721 . The biggest common factor number is the GCF number.
So the greatest common factor 8229,6721 is 13.
Lets's calculate LCM of 293,9428
Given numbers has no common factors except 1. So, there LCM is their product i.e 2762404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2762404
Therefore, the GCF of Fractions 8229/293,6721/9428 is 13/2762404
Least Common Multiple of 293,9428 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 293,9428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,9428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,9428) x common factors =1 x 1 = 1
LCM(293,9428) = ( 293 × 9428 ) / 1
LCM(293,9428) = 2762404 / 1
LCM(293,9428) = 2762404
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FAQs on GCF of Fractions of 8229/293, 6721/9428
1. What is the HCF of 8229,6721?
The HCF of 8229,6721 is 13
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 8229/293, 6721/9428?
Answer: GCF of Numerators as per given numbers 8229/293, 6721/9428 is
GCF of Numerators i.e. for 8229,6721 is 13
LCM of denominators i.e. for 293,9428 is 2762404.
Thus, GCF of Fractions is 13/2762404.Finally, GCF of Fractions for 8229/293, 6721/9428 is 13/2762404.