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 468, 455, 269, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 468, 455, 269, 346 is 1
GCD(468, 455, 269, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 455, 269, 346 is 1
GCD(468, 455, 269, 346) = 1
Given Input numbers are 468, 455, 269, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 468, 455, 269, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 455, 269, 346 is 1.
Therefore, GCD of numbers 468, 455, 269, 346 is 1
Given Input Data is 468, 455, 269, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 269 is 269
Prime Factorization of 346 is 2 x 173
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(468, 455) = 16380
GCD(468, 455) = ( 468 x 455 ) / 16380
GCD(468, 455) = 212940 / 16380
GCD(468, 455) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 269
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 468, 455, 269, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 455, 269, 346?
GCD of 468, 455, 269, 346 is 1
2. Where do I get the detailed procedure to find GCD of 468, 455, 269, 346?
You can find a detailed procedure to find GCD of 468, 455, 269, 346 on our page.
3. How to find GCD of 468, 455, 269, 346 on a calculator?
You can find the GCD of 468, 455, 269, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.