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 269, 659, 23, 636 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 659, 23, 636 is 1
GCD(269, 659, 23, 636) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 659, 23, 636 is 1
GCD(269, 659, 23, 636) = 1
Given Input numbers are 269, 659, 23, 636
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Greatest Common Divisior
We found the divisors of 269, 659, 23, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 659, 23, 636 is 1.
Therefore, GCD of numbers 269, 659, 23, 636 is 1
Given Input Data is 269, 659, 23, 636
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 659 is 659
Prime Factorization of 23 is 23
Prime Factorization of 636 is 2 x 2 x 3 x 53
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(269, 659) = 177271
GCD(269, 659) = ( 269 x 659 ) / 177271
GCD(269, 659) = 177271 / 177271
GCD(269, 659) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 636) = 636
GCD(1, 636) = ( 1 x 636 ) / 636
GCD(1, 636) = 636 / 636
GCD(1, 636) = 1
GCD of 269, 659, 23, 636 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 659, 23, 636?
GCD of 269, 659, 23, 636 is 1
2. Where do I get the detailed procedure to find GCD of 269, 659, 23, 636?
You can find a detailed procedure to find GCD of 269, 659, 23, 636 on our page.
3. How to find GCD of 269, 659, 23, 636 on a calculator?
You can find the GCD of 269, 659, 23, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.