GCF of 823/95, 405/4923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 823/95, 405/4923 i.e 1/467685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 823/95, 405/4923.
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 823/95,405/4923?
Given fractions are 823/95,405/4923
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 823/95,405/4923, numerators are 823,405
Denominators are 95,4923
The GCF of 823,405 is 1 .
LCM of 95,4923 is 467685.
The greatest common factor of 823/95,405/4923 = [GCF of 823,405]/[LCM of 95,4923]= 1/467685
Therefore, the GCF of 823/95,405/4923 is 1/467685.
To find the highest common factor of 823,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 823 are 1, 823
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 823,405 is 1.
Lets's calculate GCF of 823,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 823,405 By Matching Biggest Common Factor Method
Now, list down the factors of 823
:1,823
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 823,405 . The biggest common factor number is the GCF number.
So the greatest common factor 823,405 is 1.
Lets's calculate LCM of 95,4923
Given numbers has no common factors except 1. So, there LCM is their product i.e 467685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467685
Therefore, the GCF of Fractions 823/95,405/4923 is 1/467685
Least Common Multiple of 95,4923 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 95,4923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,4923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,4923) x common factors =1 x 1 = 1
LCM(95,4923) = ( 95 × 4923 ) / 1
LCM(95,4923) = 467685 / 1
LCM(95,4923) = 467685
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 823/95, 405/4923
1. What is the HCF of 823,405?
The HCF of 823,405 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 823/95, 405/4923?
Answer: GCF of Numerators as per given numbers 823/95, 405/4923 is
GCF of Numerators i.e. for 823,405 is 1
LCM of denominators i.e. for 95,4923 is 467685.
Thus, GCF of Fractions is 1/467685.Finally, GCF of Fractions for 823/95, 405/4923 is 1/467685.