GCD of 161, 206, 18, 820 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 161, 206, 18, 820 i.e. 1 largest integer that divides all the numbers equally.

GCD of 161, 206, 18, 820 is 1

GCD(161, 206, 18, 820) = 1

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

GCD of

GCD of numbers 161, 206, 18, 820 is 1

GCD(161, 206, 18, 820) = 1

GCD of 161,206,18,820 Calculator

GCDof 161,206,18,820 is 1

Given Input numbers are 161, 206, 18, 820

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

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 161, 206, 18, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 206, 18, 820 is 1.

Therefore, GCD of numbers 161, 206, 18, 820 is 1

Finding GCD of 161, 206, 18, 820 using Prime Factorization

Given Input Data is 161, 206, 18, 820

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

Prime Factorization of 161 is 7 x 23

Prime Factorization of 206 is 2 x 103

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 820 is 2 x 2 x 5 x 41

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

Finding GCD of 161, 206, 18, 820 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(161, 206) = 33166

GCD(161, 206) = ( 161 x 206 ) / 33166

GCD(161, 206) = 33166 / 33166

GCD(161, 206) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 161, 206, 18, 820 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 161, 206, 18, 820

1. What is the GCD of 161, 206, 18, 820?

GCD of 161, 206, 18, 820 is 1


2. Where do I get the detailed procedure to find GCD of 161, 206, 18, 820?

You can find a detailed procedure to find GCD of 161, 206, 18, 820 on our page.


3. How to find GCD of 161, 206, 18, 820 on a calculator?

You can find the GCD of 161, 206, 18, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.