GCD of 734, 629, 422, 814 Calculator

Given Input numbers are 734, 629, 422, 814

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 422

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

1, 2, 211, 422

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 734, 629, 422, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 629, 422, 814 is 1.

Therefore, GCD of numbers 734, 629, 422, 814 is 1

Given Input Data is 734, 629, 422, 814

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 629 is 17 x 37

Prime Factorization of 422 is 2 x 211

Prime Factorization of 814 is 2 x 11 x 37

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(734, 629) = 461686

GCD(734, 629) = ( 734 x 629 ) / 461686

GCD(734, 629) = 461686 / 461686

GCD(734, 629) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 734, 629, 422, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 893, 307, 213
• GCD of 251, 943, 229, 384
• GCD of 158, 661, 850, 455
• GCD of 409, 403, 854, 285
• GCD of 217, 838, 481, 959

1. What is the GCD of 734, 629, 422, 814?

GCD of 734, 629, 422, 814 is 1

2. Where do I get the detailed procedure to find GCD of 734, 629, 422, 814?

You can find a detailed procedure to find GCD of 734, 629, 422, 814 on our page.

3. How to find GCD of 734, 629, 422, 814 on a calculator?

You can find the GCD of 734, 629, 422, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.