GCD of 729, 880, 399, 422 Calculator

Given Input numbers are 729, 880, 399, 422

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

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

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 729, 880, 399, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 880, 399, 422 is 1.

Therefore, GCD of numbers 729, 880, 399, 422 is 1

Given Input Data is 729, 880, 399, 422

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

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 399 is 3 x 7 x 19

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(729, 880) = 641520

GCD(729, 880) = ( 729 x 880 ) / 641520

GCD(729, 880) = 641520 / 641520

GCD(729, 880) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

Step3:

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 729, 880, 399, 422 is 1

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1. What is the GCD of 729, 880, 399, 422?

GCD of 729, 880, 399, 422 is 1

2. Where do I get the detailed procedure to find GCD of 729, 880, 399, 422?

You can find a detailed procedure to find GCD of 729, 880, 399, 422 on our page.

3. How to find GCD of 729, 880, 399, 422 on a calculator?

You can find the GCD of 729, 880, 399, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.