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 21, 572, 367, 642 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 572, 367, 642 is 1
GCD(21, 572, 367, 642) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 572, 367, 642 is 1
GCD(21, 572, 367, 642) = 1
Given Input numbers are 21, 572, 367, 642
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Greatest Common Divisior
We found the divisors of 21, 572, 367, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 572, 367, 642 is 1.
Therefore, GCD of numbers 21, 572, 367, 642 is 1
Given Input Data is 21, 572, 367, 642
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 367 is 367
Prime Factorization of 642 is 2 x 3 x 107
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(21, 572) = 12012
GCD(21, 572) = ( 21 x 572 ) / 12012
GCD(21, 572) = 12012 / 12012
GCD(21, 572) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 367) = 367
GCD(1, 367) = ( 1 x 367 ) / 367
GCD(1, 367) = 367 / 367
GCD(1, 367) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
GCD(1, 642) = 642 / 642
GCD(1, 642) = 1
GCD of 21, 572, 367, 642 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 572, 367, 642?
GCD of 21, 572, 367, 642 is 1
2. Where do I get the detailed procedure to find GCD of 21, 572, 367, 642?
You can find a detailed procedure to find GCD of 21, 572, 367, 642 on our page.
3. How to find GCD of 21, 572, 367, 642 on a calculator?
You can find the GCD of 21, 572, 367, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.