GCD of 469, 636, 338, 142 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 469, 636, 338, 142 i.e. 1 largest integer that divides all the numbers equally.

GCD of 469, 636, 338, 142 is 1

GCD(469, 636, 338, 142) = 1

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

GCD of

GCD of numbers 469, 636, 338, 142 is 1

GCD(469, 636, 338, 142) = 1

GCD of 469,636,338,142 Calculator

GCDof 469,636,338,142 is 1

Given Input numbers are 469, 636, 338, 142

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 469, 636, 338, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 636, 338, 142 is 1.

Therefore, GCD of numbers 469, 636, 338, 142 is 1

Finding GCD of 469, 636, 338, 142 using Prime Factorization

Given Input Data is 469, 636, 338, 142

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 142 is 2 x 71

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

Finding GCD of 469, 636, 338, 142 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(469, 636) = 298284

GCD(469, 636) = ( 469 x 636 ) / 298284

GCD(469, 636) = 298284 / 298284

GCD(469, 636) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 469, 636, 338, 142 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 469, 636, 338, 142

1. What is the GCD of 469, 636, 338, 142?

GCD of 469, 636, 338, 142 is 1


2. Where do I get the detailed procedure to find GCD of 469, 636, 338, 142?

You can find a detailed procedure to find GCD of 469, 636, 338, 142 on our page.


3. How to find GCD of 469, 636, 338, 142 on a calculator?

You can find the GCD of 469, 636, 338, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.