GCD of 429, 161, 40, 362 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 429, 161, 40, 362 i.e. 1 largest integer that divides all the numbers equally.

GCD of 429, 161, 40, 362 is 1

GCD(429, 161, 40, 362) = 1

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

GCD of

GCD of numbers 429, 161, 40, 362 is 1

GCD(429, 161, 40, 362) = 1

GCD of 429,161,40,362 Calculator

GCDof 429,161,40,362 is 1

Given Input numbers are 429, 161, 40, 362

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 161

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

1, 7, 23, 161

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 429, 161, 40, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 161, 40, 362 is 1.

Therefore, GCD of numbers 429, 161, 40, 362 is 1

Finding GCD of 429, 161, 40, 362 using Prime Factorization

Given Input Data is 429, 161, 40, 362

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 161 is 7 x 23

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 362 is 2 x 181

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

Finding GCD of 429, 161, 40, 362 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(429, 161) = 69069

GCD(429, 161) = ( 429 x 161 ) / 69069

GCD(429, 161) = 69069 / 69069

GCD(429, 161) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 429, 161, 40, 362 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 429, 161, 40, 362

1. What is the GCD of 429, 161, 40, 362?

GCD of 429, 161, 40, 362 is 1


2. Where do I get the detailed procedure to find GCD of 429, 161, 40, 362?

You can find a detailed procedure to find GCD of 429, 161, 40, 362 on our page.


3. How to find GCD of 429, 161, 40, 362 on a calculator?

You can find the GCD of 429, 161, 40, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.