Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 80, 508, 811, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 508, 811, 823 is 1
GCD(80, 508, 811, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 508, 811, 823 is 1
GCD(80, 508, 811, 823) = 1
Given Input numbers are 80, 508, 811, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 80, 508, 811, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 508, 811, 823 is 1.
Therefore, GCD of numbers 80, 508, 811, 823 is 1
Given Input Data is 80, 508, 811, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 811 is 811
Prime Factorization of 823 is 823
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(80, 508) = 10160
GCD(80, 508) = ( 80 x 508 ) / 10160
GCD(80, 508) = 40640 / 10160
GCD(80, 508) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 811
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 811) = 3244
GCD(4, 811) = ( 4 x 811 ) / 3244
GCD(4, 811) = 3244 / 3244
GCD(4, 811) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
GCD of 80, 508, 811, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 508, 811, 823?
GCD of 80, 508, 811, 823 is 1
2. Where do I get the detailed procedure to find GCD of 80, 508, 811, 823?
You can find a detailed procedure to find GCD of 80, 508, 811, 823 on our page.
3. How to find GCD of 80, 508, 811, 823 on a calculator?
You can find the GCD of 80, 508, 811, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.