GCD of 821, 429, 580, 344 Calculator

Given Input numbers are 821, 429, 580, 344

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

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 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 821, 429, 580, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 429, 580, 344 is 1.

Therefore, GCD of numbers 821, 429, 580, 344 is 1

Given Input Data is 821, 429, 580, 344

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

Prime Factorization of 821 is 821

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(821, 429) = 352209

GCD(821, 429) = ( 821 x 429 ) / 352209

GCD(821, 429) = 352209 / 352209

GCD(821, 429) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 821, 429, 580, 344 is 1

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1. What is the GCD of 821, 429, 580, 344?

GCD of 821, 429, 580, 344 is 1

2. Where do I get the detailed procedure to find GCD of 821, 429, 580, 344?

You can find a detailed procedure to find GCD of 821, 429, 580, 344 on our page.

3. How to find GCD of 821, 429, 580, 344 on a calculator?

You can find the GCD of 821, 429, 580, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.