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 52, 823, 161, 813 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 823, 161, 813 is 1
GCD(52, 823, 161, 813) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 823, 161, 813 is 1
GCD(52, 823, 161, 813) = 1
Given Input numbers are 52, 823, 161, 813
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Greatest Common Divisior
We found the divisors of 52, 823, 161, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 823, 161, 813 is 1.
Therefore, GCD of numbers 52, 823, 161, 813 is 1
Given Input Data is 52, 823, 161, 813
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 823 is 823
Prime Factorization of 161 is 7 x 23
Prime Factorization of 813 is 3 x 271
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(52, 823) = 42796
GCD(52, 823) = ( 52 x 823 ) / 42796
GCD(52, 823) = 42796 / 42796
GCD(52, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 813
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 813) = 813
GCD(1, 813) = ( 1 x 813 ) / 813
GCD(1, 813) = 813 / 813
GCD(1, 813) = 1
GCD of 52, 823, 161, 813 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 823, 161, 813?
GCD of 52, 823, 161, 813 is 1
2. Where do I get the detailed procedure to find GCD of 52, 823, 161, 813?
You can find a detailed procedure to find GCD of 52, 823, 161, 813 on our page.
3. How to find GCD of 52, 823, 161, 813 on a calculator?
You can find the GCD of 52, 823, 161, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.