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 367, 553, 569, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 367, 553, 569, 320 is 1
GCD(367, 553, 569, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 367, 553, 569, 320 is 1
GCD(367, 553, 569, 320) = 1
Given Input numbers are 367, 553, 569, 320
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
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
Greatest Common Divisior
We found the divisors of 367, 553, 569, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 553, 569, 320 is 1.
Therefore, GCD of numbers 367, 553, 569, 320 is 1
Given Input Data is 367, 553, 569, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 367 is 367
Prime Factorization of 553 is 7 x 79
Prime Factorization of 569 is 569
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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(367, 553) = 202951
GCD(367, 553) = ( 367 x 553 ) / 202951
GCD(367, 553) = 202951 / 202951
GCD(367, 553) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 569) = 569
GCD(1, 569) = ( 1 x 569 ) / 569
GCD(1, 569) = 569 / 569
GCD(1, 569) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
GCD of 367, 553, 569, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 367, 553, 569, 320?
GCD of 367, 553, 569, 320 is 1
2. Where do I get the detailed procedure to find GCD of 367, 553, 569, 320?
You can find a detailed procedure to find GCD of 367, 553, 569, 320 on our page.
3. How to find GCD of 367, 553, 569, 320 on a calculator?
You can find the GCD of 367, 553, 569, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.