GCF of 8633/823, 9723/2768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8633/823, 9723/2768 i.e 1/2278064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8633/823, 9723/2768.
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 8633/823,9723/2768?
Given fractions are 8633/823,9723/2768
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 8633/823,9723/2768, numerators are 8633,9723
Denominators are 823,2768
The GCF of 8633,9723 is 1 .
LCM of 823,2768 is 2278064.
The greatest common factor of 8633/823,9723/2768 = [GCF of 8633,9723]/[LCM of 823,2768]= 1/2278064
Therefore, the GCF of 8633/823,9723/2768 is 1/2278064.
To find the highest common factor of 8633,9723, we have to find the factors of both numbers and list the highest common factor.
The factors of 8633 are 1, 89, 97, 8633
The factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723
The HCF of 8633,9723 is 1.
Lets's calculate GCF of 8633,9723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8633,9723 By Matching Biggest Common Factor Method
Now, list down the factors of 8633
:1,89,97,8633
Now, list down the factors of 9723
:1,3,7,21,463,1389,3241,9723
Greatest Common Factor
We found the factors 8633,9723 . The biggest common factor number is the GCF number.
So the greatest common factor 8633,9723 is 1.
Lets's calculate LCM of 823,2768
Given numbers has no common factors except 1. So, there LCM is their product i.e 2278064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2278064
Therefore, the GCF of Fractions 8633/823,9723/2768 is 1/2278064
Least Common Multiple of 823,2768 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 823,2768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,2768) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,2768) x common factors =1 x 1 = 1
LCM(823,2768) = ( 823 × 2768 ) / 1
LCM(823,2768) = 2278064 / 1
LCM(823,2768) = 2278064
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8633/823, 9723/2768
1. What is the HCF of 8633,9723?
The HCF of 8633,9723 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 8633/823, 9723/2768?
Answer: GCF of Numerators as per given numbers 8633/823, 9723/2768 is
GCF of Numerators i.e. for 8633,9723 is 1
LCM of denominators i.e. for 823,2768 is 2278064.
Thus, GCF of Fractions is 1/2278064.Finally, GCF of Fractions for 8633/823, 9723/2768 is 1/2278064.