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, 458, 360, 523 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 458, 360, 523 is 1
GCD(269, 458, 360, 523) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 458, 360, 523 is 1
GCD(269, 458, 360, 523) = 1
Given Input numbers are 269, 458, 360, 523
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 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Greatest Common Divisior
We found the divisors of 269, 458, 360, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 458, 360, 523 is 1.
Therefore, GCD of numbers 269, 458, 360, 523 is 1
Given Input Data is 269, 458, 360, 523
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 458 is 2 x 229
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 523 is 523
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, 458) = 123202
GCD(269, 458) = ( 269 x 458 ) / 123202
GCD(269, 458) = 123202 / 123202
GCD(269, 458) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
GCD of 269, 458, 360, 523 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 458, 360, 523?
GCD of 269, 458, 360, 523 is 1
2. Where do I get the detailed procedure to find GCD of 269, 458, 360, 523?
You can find a detailed procedure to find GCD of 269, 458, 360, 523 on our page.
3. How to find GCD of 269, 458, 360, 523 on a calculator?
You can find the GCD of 269, 458, 360, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.