GCD of 349, 928, 404, 429 Calculator

Given Input numbers are 349, 928, 404, 429

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 429

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

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

Greatest Common Divisior

We found the divisors of 349, 928, 404, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 928, 404, 429 is 1.

Therefore, GCD of numbers 349, 928, 404, 429 is 1

Given Input Data is 349, 928, 404, 429

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

Prime Factorization of 349 is 349

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 429 is 3 x 11 x 13

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

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(349, 928) = 323872

GCD(349, 928) = ( 349 x 928 ) / 323872

GCD(349, 928) = 323872 / 323872

GCD(349, 928) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 349, 928, 404, 429 is 1

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1. What is the GCD of 349, 928, 404, 429?

GCD of 349, 928, 404, 429 is 1

2. Where do I get the detailed procedure to find GCD of 349, 928, 404, 429?

You can find a detailed procedure to find GCD of 349, 928, 404, 429 on our page.

3. How to find GCD of 349, 928, 404, 429 on a calculator?

You can find the GCD of 349, 928, 404, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.