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 320, 531, 236, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 531, 236, 369 is 1
GCD(320, 531, 236, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 531, 236, 369 is 1
GCD(320, 531, 236, 369) = 1
Given Input numbers are 320, 531, 236, 369
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 320, 531, 236, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 531, 236, 369 is 1.
Therefore, GCD of numbers 320, 531, 236, 369 is 1
Given Input Data is 320, 531, 236, 369
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 369 is 3 x 3 x 41
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(320, 531) = 169920
GCD(320, 531) = ( 320 x 531 ) / 169920
GCD(320, 531) = 169920 / 169920
GCD(320, 531) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
GCD(1, 236) = 236 / 236
GCD(1, 236) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
GCD of 320, 531, 236, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 531, 236, 369?
GCD of 320, 531, 236, 369 is 1
2. Where do I get the detailed procedure to find GCD of 320, 531, 236, 369?
You can find a detailed procedure to find GCD of 320, 531, 236, 369 on our page.
3. How to find GCD of 320, 531, 236, 369 on a calculator?
You can find the GCD of 320, 531, 236, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.