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 365, 369, 339, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 369, 339, 567 is 1
GCD(365, 369, 339, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 369, 339, 567 is 1
GCD(365, 369, 339, 567) = 1
Given Input numbers are 365, 369, 339, 567
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 365, 369, 339, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 369, 339, 567 is 1.
Therefore, GCD of numbers 365, 369, 339, 567 is 1
Given Input Data is 365, 369, 339, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 339 is 3 x 113
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
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(365, 369) = 134685
GCD(365, 369) = ( 365 x 369 ) / 134685
GCD(365, 369) = 134685 / 134685
GCD(365, 369) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 365, 369, 339, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 369, 339, 567?
GCD of 365, 369, 339, 567 is 1
2. Where do I get the detailed procedure to find GCD of 365, 369, 339, 567?
You can find a detailed procedure to find GCD of 365, 369, 339, 567 on our page.
3. How to find GCD of 365, 369, 339, 567 on a calculator?
You can find the GCD of 365, 369, 339, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.