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 552, 600, 326, 897 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 600, 326, 897 is 1
GCD(552, 600, 326, 897) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 600, 326, 897 is 1
GCD(552, 600, 326, 897) = 1
Given Input numbers are 552, 600, 326, 897
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Greatest Common Divisior
We found the divisors of 552, 600, 326, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 600, 326, 897 is 1.
Therefore, GCD of numbers 552, 600, 326, 897 is 1
Given Input Data is 552, 600, 326, 897
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 326 is 2 x 163
Prime Factorization of 897 is 3 x 13 x 23
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(552, 600) = 13800
GCD(552, 600) = ( 552 x 600 ) / 13800
GCD(552, 600) = 331200 / 13800
GCD(552, 600) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 326) = 3912
GCD(24, 326) = ( 24 x 326 ) / 3912
GCD(24, 326) = 7824 / 3912
GCD(24, 326) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 897) = 1794
GCD(2, 897) = ( 2 x 897 ) / 1794
GCD(2, 897) = 1794 / 1794
GCD(2, 897) = 1
GCD of 552, 600, 326, 897 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 600, 326, 897?
GCD of 552, 600, 326, 897 is 1
2. Where do I get the detailed procedure to find GCD of 552, 600, 326, 897?
You can find a detailed procedure to find GCD of 552, 600, 326, 897 on our page.
3. How to find GCD of 552, 600, 326, 897 on a calculator?
You can find the GCD of 552, 600, 326, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.