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 522, 696, 611 i.e. 1 largest integer that divides all the numbers equally.
GCD of 522, 696, 611 is 1
GCD(522, 696, 611) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 696, 611 is 1
GCD(522, 696, 611) = 1
Given Input numbers are 522, 696, 611
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Greatest Common Divisior
We found the divisors of 522, 696, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 696, 611 is 1.
Therefore, GCD of numbers 522, 696, 611 is 1
Given Input Data is 522, 696, 611
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 611 is 13 x 47
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(522, 696) = 2088
GCD(522, 696) = ( 522 x 696 ) / 2088
GCD(522, 696) = 363312 / 2088
GCD(522, 696) = 174
Step2:
Here we consider the GCD from the above i.e. 174 as first number and the next as 611
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(174, 611) = 106314
GCD(174, 611) = ( 174 x 611 ) / 106314
GCD(174, 611) = 106314 / 106314
GCD(174, 611) = 1
GCD of 522, 696, 611 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 696, 611?
GCD of 522, 696, 611 is 1
2. Where do I get the detailed procedure to find GCD of 522, 696, 611?
You can find a detailed procedure to find GCD of 522, 696, 611 on our page.
3. How to find GCD of 522, 696, 611 on a calculator?
You can find the GCD of 522, 696, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.