GCF of 8446/893, 5823/6413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8446/893, 5823/6413 i.e 1/5726809 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8446/893, 5823/6413.
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 8446/893,5823/6413?
Given fractions are 8446/893,5823/6413
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 8446/893,5823/6413, numerators are 8446,5823
Denominators are 893,6413
The GCF of 8446,5823 is 1 .
LCM of 893,6413 is 5726809.
The greatest common factor of 8446/893,5823/6413 = [GCF of 8446,5823]/[LCM of 893,6413]= 1/5726809
Therefore, the GCF of 8446/893,5823/6413 is 1/5726809.
To find the highest common factor of 8446,5823, we have to find the factors of both numbers and list the highest common factor.
The factors of 8446 are 1, 2, 41, 82, 103, 206, 4223, 8446
The factors of 5823 are 1, 3, 9, 647, 1941, 5823
The HCF of 8446,5823 is 1.
Lets's calculate GCF of 8446,5823
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8446,5823 By Matching Biggest Common Factor Method
Now, list down the factors of 8446
:1,2,41,82,103,206,4223,8446
Now, list down the factors of 5823
:1,3,9,647,1941,5823
Greatest Common Factor
We found the factors 8446,5823 . The biggest common factor number is the GCF number.
So the greatest common factor 8446,5823 is 1.
Lets's calculate LCM of 893,6413
Given numbers has no common factors except 1. So, there LCM is their product i.e 5726809
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5726809
Therefore, the GCF of Fractions 8446/893,5823/6413 is 1/5726809
Least Common Multiple of 893,6413 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 893,6413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,6413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,6413) x common factors =1 x 1 = 1
LCM(893,6413) = ( 893 × 6413 ) / 1
LCM(893,6413) = 5726809 / 1
LCM(893,6413) = 5726809
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8446/893, 5823/6413
1. What is the HCF of 8446,5823?
The HCF of 8446,5823 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 8446/893, 5823/6413?
Answer: GCF of Numerators as per given numbers 8446/893, 5823/6413 is
GCF of Numerators i.e. for 8446,5823 is 1
LCM of denominators i.e. for 893,6413 is 5726809.
Thus, GCF of Fractions is 1/5726809.Finally, GCF of Fractions for 8446/893, 5823/6413 is 1/5726809.