GCD of 821, 348, 422 Calculator

Given Input numbers are 821, 348, 422

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 422

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

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 821, 348, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 348, 422 is 1.

Therefore, GCD of numbers 821, 348, 422 is 1

Given Input Data is 821, 348, 422

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

Prime Factorization of 821 is 821

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 422 is 2 x 211

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, 348) = 285708

GCD(821, 348) = ( 821 x 348 ) / 285708

GCD(821, 348) = 285708 / 285708

GCD(821, 348) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 821, 348, 422 is 1

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1. What is the GCD of 821, 348, 422?

GCD of 821, 348, 422 is 1

2. Where do I get the detailed procedure to find GCD of 821, 348, 422?

You can find a detailed procedure to find GCD of 821, 348, 422 on our page.

3. How to find GCD of 821, 348, 422 on a calculator?

You can find the GCD of 821, 348, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.