GCD of 170, 845, 36, 545 Calculator

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 170, 845, 36, 545 i.e. 1 largest integer that divides all the numbers equally.

GCD of 170, 845, 36, 545 is 1

GCD(170, 845, 36, 545) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 170, 845, 36, 545 is 1

GCD(170, 845, 36, 545) = 1

GCD of 170,845,36,545 Calculator

GCDof 170,845,36,545 is 1

Given Input numbers are 170, 845, 36, 545

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 170, 845, 36, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 845, 36, 545 is 1.

Therefore, GCD of numbers 170, 845, 36, 545 is 1

Finding GCD of 170, 845, 36, 545 using Prime Factorization

Given Input Data is 170, 845, 36, 545

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 545 is 5 x 109

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 170, 845, 36, 545 using LCM Formula

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(170, 845) = 28730

GCD(170, 845) = ( 170 x 845 ) / 28730

GCD(170, 845) = 143650 / 28730

GCD(170, 845) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 36

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

LCM(5, 36) = 180

GCD(5, 36) = ( 5 x 36 ) / 180

GCD(5, 36) = 180 / 180

GCD(5, 36) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 170, 845, 36, 545 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 170, 845, 36, 545

1. What is the GCD of 170, 845, 36, 545?

GCD of 170, 845, 36, 545 is 1


2. Where do I get the detailed procedure to find GCD of 170, 845, 36, 545?

You can find a detailed procedure to find GCD of 170, 845, 36, 545 on our page.


3. How to find GCD of 170, 845, 36, 545 on a calculator?

You can find the GCD of 170, 845, 36, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.