GCD of 182, 646, 17, 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 182, 646, 17, 820 i.e. 1 largest integer that divides all the numbers equally.

GCD of 182, 646, 17, 820 is 1

GCD(182, 646, 17, 820) = 1

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

GCD of

GCD of numbers 182, 646, 17, 820 is 1

GCD(182, 646, 17, 820) = 1

GCD of 182,646,17,820 Calculator

GCDof 182,646,17,820 is 1

Given Input numbers are 182, 646, 17, 820

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 182, 646, 17, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 646, 17, 820 is 1.

Therefore, GCD of numbers 182, 646, 17, 820 is 1

Finding GCD of 182, 646, 17, 820 using Prime Factorization

Given Input Data is 182, 646, 17, 820

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 17 is 17

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 182, 646, 17, 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(182, 646) = 58786

GCD(182, 646) = ( 182 x 646 ) / 58786

GCD(182, 646) = 117572 / 58786

GCD(182, 646) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 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 182, 646, 17, 820 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 182, 646, 17, 820

1. What is the GCD of 182, 646, 17, 820?

GCD of 182, 646, 17, 820 is 1


2. Where do I get the detailed procedure to find GCD of 182, 646, 17, 820?

You can find a detailed procedure to find GCD of 182, 646, 17, 820 on our page.


3. How to find GCD of 182, 646, 17, 820 on a calculator?

You can find the GCD of 182, 646, 17, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.