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 13, 269, 249, 156 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 269, 249, 156 is 1
GCD(13, 269, 249, 156) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 269, 249, 156 is 1
GCD(13, 269, 249, 156) = 1
Given Input numbers are 13, 269, 249, 156
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 13, 269, 249, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 269, 249, 156 is 1.
Therefore, GCD of numbers 13, 269, 249, 156 is 1
Given Input Data is 13, 269, 249, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 269 is 269
Prime Factorization of 249 is 3 x 83
Prime Factorization of 156 is 2 x 2 x 3 x 13
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(13, 269) = 3497
GCD(13, 269) = ( 13 x 269 ) / 3497
GCD(13, 269) = 3497 / 3497
GCD(13, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
GCD(1, 249) = 249 / 249
GCD(1, 249) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
GCD(1, 156) = 156 / 156
GCD(1, 156) = 1
GCD of 13, 269, 249, 156 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 269, 249, 156?
GCD of 13, 269, 249, 156 is 1
2. Where do I get the detailed procedure to find GCD of 13, 269, 249, 156?
You can find a detailed procedure to find GCD of 13, 269, 249, 156 on our page.
3. How to find GCD of 13, 269, 249, 156 on a calculator?
You can find the GCD of 13, 269, 249, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.