GCF of 6809/413, 2082/5779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6809/413, 2082/5779 i.e 1/2386727 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6809/413, 2082/5779.
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 6809/413,2082/5779?
Given fractions are 6809/413,2082/5779
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 6809/413,2082/5779, numerators are 6809,2082
Denominators are 413,5779
The GCF of 6809,2082 is 1 .
LCM of 413,5779 is 2386727.
The greatest common factor of 6809/413,2082/5779 = [GCF of 6809,2082]/[LCM of 413,5779]= 1/2386727
Therefore, the GCF of 6809/413,2082/5779 is 1/2386727.
To find the highest common factor of 6809,2082, we have to find the factors of both numbers and list the highest common factor.
The factors of 6809 are 1, 11, 619, 6809
The factors of 2082 are 1, 2, 3, 6, 347, 694, 1041, 2082
The HCF of 6809,2082 is 1.
Lets's calculate GCF of 6809,2082
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6809,2082 By Matching Biggest Common Factor Method
Now, list down the factors of 6809
:1,11,619,6809
Now, list down the factors of 2082
:1,2,3,6,347,694,1041,2082
Greatest Common Factor
We found the factors 6809,2082 . The biggest common factor number is the GCF number.
So the greatest common factor 6809,2082 is 1.
Lets's calculate LCM of 413,5779
Given numbers has no common factors except 1. So, there LCM is their product i.e 2386727
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2386727
Therefore, the GCF of Fractions 6809/413,2082/5779 is 1/2386727
Least Common Multiple of 413,5779 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 413,5779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,5779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,5779) x common factors =1 x 1 = 1
LCM(413,5779) = ( 413 × 5779 ) / 1
LCM(413,5779) = 2386727 / 1
LCM(413,5779) = 2386727
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FAQs on GCF of Fractions of 6809/413, 2082/5779
1. What is the HCF of 6809,2082?
The HCF of 6809,2082 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 6809/413, 2082/5779?
Answer: GCF of Numerators as per given numbers 6809/413, 2082/5779 is
GCF of Numerators i.e. for 6809,2082 is 1
LCM of denominators i.e. for 413,5779 is 2386727.
Thus, GCF of Fractions is 1/2386727.Finally, GCF of Fractions for 6809/413, 2082/5779 is 1/2386727.