GCF of 2566/796, 8337/6254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2566/796, 8337/6254 i.e 1/2489092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2566/796, 8337/6254.
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 2566/796,8337/6254?
Given fractions are 2566/796,8337/6254
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 2566/796,8337/6254, numerators are 2566,8337
Denominators are 796,6254
The GCF of 2566,8337 is 1 .
LCM of 796,6254 is 2489092.
The greatest common factor of 2566/796,8337/6254 = [GCF of 2566,8337]/[LCM of 796,6254]= 1/2489092
Therefore, the GCF of 2566/796,8337/6254 is 1/2489092.
To find the highest common factor of 2566,8337, we have to find the factors of both numbers and list the highest common factor.
The factors of 2566 are 1, 2, 1283, 2566
The factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337
The HCF of 2566,8337 is 1.
Lets's calculate GCF of 2566,8337
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2566,8337 By Matching Biggest Common Factor Method
Now, list down the factors of 2566
:1,2,1283,2566
Now, list down the factors of 8337
:1,3,7,21,397,1191,2779,8337
Greatest Common Factor
We found the factors 2566,8337 . The biggest common factor number is the GCF number.
So the greatest common factor 2566,8337 is 1.
Lets's calculate LCM of 796,6254
| 2 | 796, 6254 |
| 398, 3127 |
∴ So the LCM of the given numbers is 2 x 398 x 3127 = 2489092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2489092
Therefore, the GCF of Fractions 2566/796,8337/6254 is 1/2489092
Least Common Multiple of 796,6254 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 796,6254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,6254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(796,6254) x common factors =2 x 1 = 2
LCM(796,6254) = ( 796 × 6254 ) / 2
LCM(796,6254) = 4978184 / 2
LCM(796,6254) = 2489092
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FAQs on GCF of Fractions of 2566/796, 8337/6254
1. What is the HCF of 2566,8337?
The HCF of 2566,8337 is 1
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 2566/796, 8337/6254?
Answer: GCF of Numerators as per given numbers 2566/796, 8337/6254 is
GCF of Numerators i.e. for 2566,8337 is 1
LCM of denominators i.e. for 796,6254 is 2489092.
Thus, GCF of Fractions is 1/2489092.Finally, GCF of Fractions for 2566/796, 8337/6254 is 1/2489092.