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 322, 511, 364, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 511, 364, 769 is 1
GCD(322, 511, 364, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 511, 364, 769 is 1
GCD(322, 511, 364, 769) = 1
Given Input numbers are 322, 511, 364, 769
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 322, 511, 364, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 511, 364, 769 is 1.
Therefore, GCD of numbers 322, 511, 364, 769 is 1
Given Input Data is 322, 511, 364, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 511 is 7 x 73
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 769 is 769
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(322, 511) = 23506
GCD(322, 511) = ( 322 x 511 ) / 23506
GCD(322, 511) = 164542 / 23506
GCD(322, 511) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 364) = 364
GCD(7, 364) = ( 7 x 364 ) / 364
GCD(7, 364) = 2548 / 364
GCD(7, 364) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 769) = 5383
GCD(7, 769) = ( 7 x 769 ) / 5383
GCD(7, 769) = 5383 / 5383
GCD(7, 769) = 1
GCD of 322, 511, 364, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 511, 364, 769?
GCD of 322, 511, 364, 769 is 1
2. Where do I get the detailed procedure to find GCD of 322, 511, 364, 769?
You can find a detailed procedure to find GCD of 322, 511, 364, 769 on our page.
3. How to find GCD of 322, 511, 364, 769 on a calculator?
You can find the GCD of 322, 511, 364, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.