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 572, 106, 89, 660 i.e. 1 largest integer that divides all the numbers equally.
GCD of 572, 106, 89, 660 is 1
GCD(572, 106, 89, 660) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 572, 106, 89, 660 is 1
GCD(572, 106, 89, 660) = 1
Given Input numbers are 572, 106, 89, 660
To find the GCD of numbers using factoring list out all the divisors of each number
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 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Greatest Common Divisior
We found the divisors of 572, 106, 89, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 106, 89, 660 is 1.
Therefore, GCD of numbers 572, 106, 89, 660 is 1
Given Input Data is 572, 106, 89, 660
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 106 is 2 x 53
Prime Factorization of 89 is 89
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
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(572, 106) = 30316
GCD(572, 106) = ( 572 x 106 ) / 30316
GCD(572, 106) = 60632 / 30316
GCD(572, 106) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 89) = 178
GCD(2, 89) = ( 2 x 89 ) / 178
GCD(2, 89) = 178 / 178
GCD(2, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
GCD(1, 660) = 660 / 660
GCD(1, 660) = 1
GCD of 572, 106, 89, 660 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 572, 106, 89, 660?
GCD of 572, 106, 89, 660 is 1
2. Where do I get the detailed procedure to find GCD of 572, 106, 89, 660?
You can find a detailed procedure to find GCD of 572, 106, 89, 660 on our page.
3. How to find GCD of 572, 106, 89, 660 on a calculator?
You can find the GCD of 572, 106, 89, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.