GCF of 8313/674, 1343/866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8313/674, 1343/866 i.e 17/291842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8313/674, 1343/866.
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 8313/674,1343/866?
Given fractions are 8313/674,1343/866
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 8313/674,1343/866, numerators are 8313,1343
Denominators are 674,866
The GCF of 8313,1343 is 17 .
LCM of 674,866 is 291842.
The greatest common factor of 8313/674,1343/866 = [GCF of 8313,1343]/[LCM of 674,866]= 17/291842
Therefore, the GCF of 8313/674,1343/866 is 17/291842.
To find the highest common factor of 8313,1343, we have to find the factors of both numbers and list the highest common factor.
The factors of 8313 are 1, 3, 17, 51, 163, 489, 2771, 8313
The factors of 1343 are 1, 17, 79, 1343
The HCF of 8313,1343 is 17.
Lets's calculate GCF of 8313,1343
| 17 | 8313, 1343 |
| 489, 79 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8313,1343 By Matching Biggest Common Factor Method
Now, list down the factors of 8313
:1,3,17,51,163,489,2771,8313
Now, list down the factors of 1343
:1,17,79,1343
Greatest Common Factor
We found the factors 8313,1343 . The biggest common factor number is the GCF number.
So the greatest common factor 8313,1343 is 17.
Lets's calculate LCM of 674,866
| 2 | 674, 866 |
| 337, 433 |
∴ So the LCM of the given numbers is 2 x 337 x 433 = 291842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/291842
Therefore, the GCF of Fractions 8313/674,1343/866 is 17/291842
Least Common Multiple of 674,866 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 674,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,866) x common factors =2 x 1 = 2
LCM(674,866) = ( 674 × 866 ) / 2
LCM(674,866) = 583684 / 2
LCM(674,866) = 291842
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FAQs on GCF of Fractions of 8313/674, 1343/866
1. What is the HCF of 8313,1343?
The HCF of 8313,1343 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 8313/674, 1343/866?
Answer: GCF of Numerators as per given numbers 8313/674, 1343/866 is
GCF of Numerators i.e. for 8313,1343 is 17
LCM of denominators i.e. for 674,866 is 291842.
Thus, GCF of Fractions is 17/291842.Finally, GCF of Fractions for 8313/674, 1343/866 is 17/291842.