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 20, 533, 221, 587 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 533, 221, 587 is 1
GCD(20, 533, 221, 587) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 533, 221, 587 is 1
GCD(20, 533, 221, 587) = 1
Given Input numbers are 20, 533, 221, 587
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Greatest Common Divisior
We found the divisors of 20, 533, 221, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 533, 221, 587 is 1.
Therefore, GCD of numbers 20, 533, 221, 587 is 1
Given Input Data is 20, 533, 221, 587
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 533 is 13 x 41
Prime Factorization of 221 is 13 x 17
Prime Factorization of 587 is 587
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(20, 533) = 10660
GCD(20, 533) = ( 20 x 533 ) / 10660
GCD(20, 533) = 10660 / 10660
GCD(20, 533) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 587) = 587
GCD(1, 587) = ( 1 x 587 ) / 587
GCD(1, 587) = 587 / 587
GCD(1, 587) = 1
GCD of 20, 533, 221, 587 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 533, 221, 587?
GCD of 20, 533, 221, 587 is 1
2. Where do I get the detailed procedure to find GCD of 20, 533, 221, 587?
You can find a detailed procedure to find GCD of 20, 533, 221, 587 on our page.
3. How to find GCD of 20, 533, 221, 587 on a calculator?
You can find the GCD of 20, 533, 221, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.