GCD of 135, 595, 29, 561 Calculator

Given Input numbers are 135, 595, 29, 561

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 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 135, 595, 29, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 595, 29, 561 is 1.

Therefore, GCD of numbers 135, 595, 29, 561 is 1

Given Input Data is 135, 595, 29, 561

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 595 is 5 x 7 x 17

Prime Factorization of 29 is 29

Prime Factorization of 561 is 3 x 11 x 17

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, 595) = 16065

GCD(135, 595) = ( 135 x 595 ) / 16065

GCD(135, 595) = 80325 / 16065

GCD(135, 595) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 29

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 29) = 145

GCD(5, 29) = ( 5 x 29 ) / 145

GCD(5, 29) = 145 / 145

GCD(5, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 135, 595, 29, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 493, 39, 960
• GCD of 402, 329, 11, 342
• GCD of 259, 951, 25, 114
• GCD of 871, 123, 81, 695
• GCD of 769, 558, 62, 543

1. What is the GCD of 135, 595, 29, 561?

GCD of 135, 595, 29, 561 is 1

2. Where do I get the detailed procedure to find GCD of 135, 595, 29, 561?

You can find a detailed procedure to find GCD of 135, 595, 29, 561 on our page.

3. How to find GCD of 135, 595, 29, 561 on a calculator?

You can find the GCD of 135, 595, 29, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.