GCD of 422, 217, 29 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 422, 217, 29 i.e. 1 largest integer that divides all the numbers equally.

GCD of 422, 217, 29 is 1

GCD(422, 217, 29) = 1

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

GCD of

GCD of numbers 422, 217, 29 is 1

GCD(422, 217, 29) = 1

GCD of 422,217,29 Calculator

GCDof 422,217,29 is 1

Given Input numbers are 422, 217, 29

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Greatest Common Divisior

We found the divisors of 422, 217, 29 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 217, 29 is 1.

Therefore, GCD of numbers 422, 217, 29 is 1

Finding GCD of 422, 217, 29 using Prime Factorization

Given Input Data is 422, 217, 29

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 217 is 7 x 31

Prime Factorization of 29 is 29

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

Finding GCD of 422, 217, 29 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(422, 217) = 91574

GCD(422, 217) = ( 422 x 217 ) / 91574

GCD(422, 217) = 91574 / 91574

GCD(422, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

GCD of 422, 217, 29 is 1

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FAQs on GCD of numbers 422, 217, 29

1. What is the GCD of 422, 217, 29?

GCD of 422, 217, 29 is 1

2. Where do I get the detailed procedure to find GCD of 422, 217, 29?

You can find a detailed procedure to find GCD of 422, 217, 29 on our page.

3. How to find GCD of 422, 217, 29 on a calculator?

You can find the GCD of 422, 217, 29 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.