GCF of 8323/298, 3339/2514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8323/298, 3339/2514 i.e 7/374586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8323/298, 3339/2514.
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 8323/298,3339/2514?
Given fractions are 8323/298,3339/2514
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 8323/298,3339/2514, numerators are 8323,3339
Denominators are 298,2514
The GCF of 8323,3339 is 7 .
LCM of 298,2514 is 374586.
The greatest common factor of 8323/298,3339/2514 = [GCF of 8323,3339]/[LCM of 298,2514]= 7/374586
Therefore, the GCF of 8323/298,3339/2514 is 7/374586.
To find the highest common factor of 8323,3339, we have to find the factors of both numbers and list the highest common factor.
The factors of 8323 are 1, 7, 29, 41, 203, 287, 1189, 8323
The factors of 3339 are 1, 3, 7, 9, 21, 53, 63, 159, 371, 477, 1113, 3339
The HCF of 8323,3339 is 7.
Lets's calculate GCF of 8323,3339
| 7 | 8323, 3339 |
| 1189, 477 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8323,3339 By Matching Biggest Common Factor Method
Now, list down the factors of 8323
:1,7,29,41,203,287,1189,8323
Now, list down the factors of 3339
:1,3,7,9,21,53,63,159,371,477,1113,3339
Greatest Common Factor
We found the factors 8323,3339 . The biggest common factor number is the GCF number.
So the greatest common factor 8323,3339 is 7.
Lets's calculate LCM of 298,2514
| 2 | 298, 2514 |
| 149, 1257 |
∴ So the LCM of the given numbers is 2 x 149 x 1257 = 374586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/374586
Therefore, the GCF of Fractions 8323/298,3339/2514 is 7/374586
Least Common Multiple of 298,2514 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 298,2514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,2514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,2514) x common factors =2 x 1 = 2
LCM(298,2514) = ( 298 × 2514 ) / 2
LCM(298,2514) = 749172 / 2
LCM(298,2514) = 374586
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FAQs on GCF of Fractions of 8323/298, 3339/2514
1. What is the HCF of 8323,3339?
The HCF of 8323,3339 is 7
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 8323/298, 3339/2514?
Answer: GCF of Numerators as per given numbers 8323/298, 3339/2514 is
GCF of Numerators i.e. for 8323,3339 is 7
LCM of denominators i.e. for 298,2514 is 374586.
Thus, GCF of Fractions is 7/374586.Finally, GCF of Fractions for 8323/298, 3339/2514 is 7/374586.