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 135, 156, 89, 571 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 156, 89, 571 is 1
GCD(135, 156, 89, 571) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 156, 89, 571 is 1
GCD(135, 156, 89, 571) = 1
Given Input numbers are 135, 156, 89, 571
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Greatest Common Divisior
We found the divisors of 135, 156, 89, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 156, 89, 571 is 1.
Therefore, GCD of numbers 135, 156, 89, 571 is 1
Given Input Data is 135, 156, 89, 571
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 89 is 89
Prime Factorization of 571 is 571
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(135, 156) = 7020
GCD(135, 156) = ( 135 x 156 ) / 7020
GCD(135, 156) = 21060 / 7020
GCD(135, 156) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 89) = 267
GCD(3, 89) = ( 3 x 89 ) / 267
GCD(3, 89) = 267 / 267
GCD(3, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 571
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 571) = 571
GCD(1, 571) = ( 1 x 571 ) / 571
GCD(1, 571) = 571 / 571
GCD(1, 571) = 1
GCD of 135, 156, 89, 571 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 156, 89, 571?
GCD of 135, 156, 89, 571 is 1
2. Where do I get the detailed procedure to find GCD of 135, 156, 89, 571?
You can find a detailed procedure to find GCD of 135, 156, 89, 571 on our page.
3. How to find GCD of 135, 156, 89, 571 on a calculator?
You can find the GCD of 135, 156, 89, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.