GCD of 422, 789, 349, 714 Calculator

Given Input numbers are 422, 789, 349, 714

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

Divisors of 422

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

1, 2, 211, 422

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 349

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

1, 349

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 422, 789, 349, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 789, 349, 714 is 1.

Therefore, GCD of numbers 422, 789, 349, 714 is 1

Given Input Data is 422, 789, 349, 714

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 789 is 3 x 263

Prime Factorization of 349 is 349

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(422, 789) = 332958

GCD(422, 789) = ( 422 x 789 ) / 332958

GCD(422, 789) = 332958 / 332958

GCD(422, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 422, 789, 349, 714 is 1

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1. What is the GCD of 422, 789, 349, 714?

GCD of 422, 789, 349, 714 is 1

2. Where do I get the detailed procedure to find GCD of 422, 789, 349, 714?

You can find a detailed procedure to find GCD of 422, 789, 349, 714 on our page.

3. How to find GCD of 422, 789, 349, 714 on a calculator?

You can find the GCD of 422, 789, 349, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.