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 69, 229, 523, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 69, 229, 523, 629 is 1
GCD(69, 229, 523, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 69, 229, 523, 629 is 1
GCD(69, 229, 523, 629) = 1
Given Input numbers are 69, 229, 523, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 69, 229, 523, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 229, 523, 629 is 1.
Therefore, GCD of numbers 69, 229, 523, 629 is 1
Given Input Data is 69, 229, 523, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 69 is 3 x 23
Prime Factorization of 229 is 229
Prime Factorization of 523 is 523
Prime Factorization of 629 is 17 x 37
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(69, 229) = 15801
GCD(69, 229) = ( 69 x 229 ) / 15801
GCD(69, 229) = 15801 / 15801
GCD(69, 229) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 69, 229, 523, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 69, 229, 523, 629?
GCD of 69, 229, 523, 629 is 1
2. Where do I get the detailed procedure to find GCD of 69, 229, 523, 629?
You can find a detailed procedure to find GCD of 69, 229, 523, 629 on our page.
3. How to find GCD of 69, 229, 523, 629 on a calculator?
You can find the GCD of 69, 229, 523, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.