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 597, 569, 21, 900 i.e. 1 largest integer that divides all the numbers equally.
GCD of 597, 569, 21, 900 is 1
GCD(597, 569, 21, 900) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 597, 569, 21, 900 is 1
GCD(597, 569, 21, 900) = 1
Given Input numbers are 597, 569, 21, 900
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greatest Common Divisior
We found the divisors of 597, 569, 21, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 569, 21, 900 is 1.
Therefore, GCD of numbers 597, 569, 21, 900 is 1
Given Input Data is 597, 569, 21, 900
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 597 is 3 x 199
Prime Factorization of 569 is 569
Prime Factorization of 21 is 3 x 7
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 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(597, 569) = 339693
GCD(597, 569) = ( 597 x 569 ) / 339693
GCD(597, 569) = 339693 / 339693
GCD(597, 569) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
GCD of 597, 569, 21, 900 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 597, 569, 21, 900?
GCD of 597, 569, 21, 900 is 1
2. Where do I get the detailed procedure to find GCD of 597, 569, 21, 900?
You can find a detailed procedure to find GCD of 597, 569, 21, 900 on our page.
3. How to find GCD of 597, 569, 21, 900 on a calculator?
You can find the GCD of 597, 569, 21, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.