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 820, 221, 569, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 221, 569, 203 is 1
GCD(820, 221, 569, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 221, 569, 203 is 1
GCD(820, 221, 569, 203) = 1
Given Input numbers are 820, 221, 569, 203
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Greatest Common Divisior
We found the divisors of 820, 221, 569, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 221, 569, 203 is 1.
Therefore, GCD of numbers 820, 221, 569, 203 is 1
Given Input Data is 820, 221, 569, 203
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 221 is 13 x 17
Prime Factorization of 569 is 569
Prime Factorization of 203 is 7 x 29
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(820, 221) = 181220
GCD(820, 221) = ( 820 x 221 ) / 181220
GCD(820, 221) = 181220 / 181220
GCD(820, 221) = 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 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
GCD of 820, 221, 569, 203 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 221, 569, 203?
GCD of 820, 221, 569, 203 is 1
2. Where do I get the detailed procedure to find GCD of 820, 221, 569, 203?
You can find a detailed procedure to find GCD of 820, 221, 569, 203 on our page.
3. How to find GCD of 820, 221, 569, 203 on a calculator?
You can find the GCD of 820, 221, 569, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.