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 29, 897, 204, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 897, 204, 261 is 1
GCD(29, 897, 204, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 897, 204, 261 is 1
GCD(29, 897, 204, 261) = 1
Given Input numbers are 29, 897, 204, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 29, 897, 204, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 897, 204, 261 is 1.
Therefore, GCD of numbers 29, 897, 204, 261 is 1
Given Input Data is 29, 897, 204, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 261 is 3 x 3 x 29
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(29, 897) = 26013
GCD(29, 897) = ( 29 x 897 ) / 26013
GCD(29, 897) = 26013 / 26013
GCD(29, 897) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 29, 897, 204, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 897, 204, 261?
GCD of 29, 897, 204, 261 is 1
2. Where do I get the detailed procedure to find GCD of 29, 897, 204, 261?
You can find a detailed procedure to find GCD of 29, 897, 204, 261 on our page.
3. How to find GCD of 29, 897, 204, 261 on a calculator?
You can find the GCD of 29, 897, 204, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.