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 236, 289, 654, 569 i.e. 1 largest integer that divides all the numbers equally.
GCD of 236, 289, 654, 569 is 1
GCD(236, 289, 654, 569) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 236, 289, 654, 569 is 1
GCD(236, 289, 654, 569) = 1
Given Input numbers are 236, 289, 654, 569
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Greatest Common Divisior
We found the divisors of 236, 289, 654, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 289, 654, 569 is 1.
Therefore, GCD of numbers 236, 289, 654, 569 is 1
Given Input Data is 236, 289, 654, 569
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 289 is 17 x 17
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 569 is 569
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(236, 289) = 68204
GCD(236, 289) = ( 236 x 289 ) / 68204
GCD(236, 289) = 68204 / 68204
GCD(236, 289) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 654) = 654
GCD(1, 654) = ( 1 x 654 ) / 654
GCD(1, 654) = 654 / 654
GCD(1, 654) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 569) = 569
GCD(1, 569) = ( 1 x 569 ) / 569
GCD(1, 569) = 569 / 569
GCD(1, 569) = 1
GCD of 236, 289, 654, 569 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 236, 289, 654, 569?
GCD of 236, 289, 654, 569 is 1
2. Where do I get the detailed procedure to find GCD of 236, 289, 654, 569?
You can find a detailed procedure to find GCD of 236, 289, 654, 569 on our page.
3. How to find GCD of 236, 289, 654, 569 on a calculator?
You can find the GCD of 236, 289, 654, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.