GCD of 402, 122, 360, 843 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 402, 122, 360, 843 i.e. 1 largest integer that divides all the numbers equally.

GCD of 402, 122, 360, 843 is 1

GCD(402, 122, 360, 843) = 1

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

GCD of

GCD of numbers 402, 122, 360, 843 is 1

GCD(402, 122, 360, 843) = 1

GCD of 402,122,360,843 Calculator

GCDof 402,122,360,843 is 1

Given Input numbers are 402, 122, 360, 843

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Greatest Common Divisior

We found the divisors of 402, 122, 360, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 122, 360, 843 is 1.

Therefore, GCD of numbers 402, 122, 360, 843 is 1

Finding GCD of 402, 122, 360, 843 using Prime Factorization

Given Input Data is 402, 122, 360, 843

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 122 is 2 x 61

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 843 is 3 x 281

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

Finding GCD of 402, 122, 360, 843 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(402, 122) = 24522

GCD(402, 122) = ( 402 x 122 ) / 24522

GCD(402, 122) = 49044 / 24522

GCD(402, 122) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 843

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

LCM(2, 843) = 1686

GCD(2, 843) = ( 2 x 843 ) / 1686

GCD(2, 843) = 1686 / 1686

GCD(2, 843) = 1

GCD of 402, 122, 360, 843 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 402, 122, 360, 843

1. What is the GCD of 402, 122, 360, 843?

GCD of 402, 122, 360, 843 is 1


2. Where do I get the detailed procedure to find GCD of 402, 122, 360, 843?

You can find a detailed procedure to find GCD of 402, 122, 360, 843 on our page.


3. How to find GCD of 402, 122, 360, 843 on a calculator?

You can find the GCD of 402, 122, 360, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.