GCF of 5843/806, 6882/2643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5843/806, 6882/2643 i.e 1/2130258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5843/806, 6882/2643.
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 5843/806,6882/2643?
Given fractions are 5843/806,6882/2643
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 5843/806,6882/2643, numerators are 5843,6882
Denominators are 806,2643
The GCF of 5843,6882 is 1 .
LCM of 806,2643 is 2130258.
The greatest common factor of 5843/806,6882/2643 = [GCF of 5843,6882]/[LCM of 806,2643]= 1/2130258
Therefore, the GCF of 5843/806,6882/2643 is 1/2130258.
To find the highest common factor of 5843,6882, we have to find the factors of both numbers and list the highest common factor.
The factors of 5843 are 1, 5843
The factors of 6882 are 1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882
The HCF of 5843,6882 is 1.
Lets's calculate GCF of 5843,6882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5843,6882 By Matching Biggest Common Factor Method
Now, list down the factors of 5843
:1,5843
Now, list down the factors of 6882
:1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882
Greatest Common Factor
We found the factors 5843,6882 . The biggest common factor number is the GCF number.
So the greatest common factor 5843,6882 is 1.
Lets's calculate LCM of 806,2643
Given numbers has no common factors except 1. So, there LCM is their product i.e 2130258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2130258
Therefore, the GCF of Fractions 5843/806,6882/2643 is 1/2130258
Least Common Multiple of 806,2643 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 806,2643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,2643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,2643) x common factors =1 x 1 = 1
LCM(806,2643) = ( 806 × 2643 ) / 1
LCM(806,2643) = 2130258 / 1
LCM(806,2643) = 2130258
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FAQs on GCF of Fractions of 5843/806, 6882/2643
1. What is the HCF of 5843,6882?
The HCF of 5843,6882 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 5843/806, 6882/2643?
Answer: GCF of Numerators as per given numbers 5843/806, 6882/2643 is
GCF of Numerators i.e. for 5843,6882 is 1
LCM of denominators i.e. for 806,2643 is 2130258.
Thus, GCF of Fractions is 1/2130258.Finally, GCF of Fractions for 5843/806, 6882/2643 is 1/2130258.