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 573, 486, 20, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 573, 486, 20, 349 is 1
GCD(573, 486, 20, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 573, 486, 20, 349 is 1
GCD(573, 486, 20, 349) = 1
Given Input numbers are 573, 486, 20, 349
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 573, 486, 20, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 486, 20, 349 is 1.
Therefore, GCD of numbers 573, 486, 20, 349 is 1
Given Input Data is 573, 486, 20, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 573 is 3 x 191
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 349 is 349
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(573, 486) = 92826
GCD(573, 486) = ( 573 x 486 ) / 92826
GCD(573, 486) = 278478 / 92826
GCD(573, 486) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 20) = 60
GCD(3, 20) = ( 3 x 20 ) / 60
GCD(3, 20) = 60 / 60
GCD(3, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
GCD of 573, 486, 20, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 573, 486, 20, 349?
GCD of 573, 486, 20, 349 is 1
2. Where do I get the detailed procedure to find GCD of 573, 486, 20, 349?
You can find a detailed procedure to find GCD of 573, 486, 20, 349 on our page.
3. How to find GCD of 573, 486, 20, 349 on a calculator?
You can find the GCD of 573, 486, 20, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.