GCD of 461, 438, 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 461, 438, 29 i.e. 1 largest integer that divides all the numbers equally.

GCD of 461, 438, 29 is 1

GCD(461, 438, 29) = 1

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

GCD of

GCD of numbers 461, 438, 29 is 1

GCD(461, 438, 29) = 1

GCD of 461,438,29 Calculator

GCDof 461,438,29 is 1

Given Input numbers are 461, 438, 29

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

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 461, 438, 29 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 438, 29 is 1.

Therefore, GCD of numbers 461, 438, 29 is 1

Finding GCD of 461, 438, 29 using Prime Factorization

Given Input Data is 461, 438, 29

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

Prime Factorization of 461 is 461

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 29 is 29

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

Finding GCD of 461, 438, 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(461, 438) = 201918

GCD(461, 438) = ( 461 x 438 ) / 201918

GCD(461, 438) = 201918 / 201918

GCD(461, 438) = 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 461, 438, 29 is 1

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FAQs on GCD of numbers 461, 438, 29

1. What is the GCD of 461, 438, 29?

GCD of 461, 438, 29 is 1

2. Where do I get the detailed procedure to find GCD of 461, 438, 29?

You can find a detailed procedure to find GCD of 461, 438, 29 on our page.

3. How to find GCD of 461, 438, 29 on a calculator?

You can find the GCD of 461, 438, 29 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.