GCD of 29, 424, 456, 689 Calculator

Given Input numbers are 29, 424, 456, 689

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 29, 424, 456, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 424, 456, 689 is 1.

Therefore, GCD of numbers 29, 424, 456, 689 is 1

Given Input Data is 29, 424, 456, 689

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

Prime Factorization of 29 is 29

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 689 is 13 x 53

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(29, 424) = 12296

GCD(29, 424) = ( 29 x 424 ) / 12296

GCD(29, 424) = 12296 / 12296

GCD(29, 424) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 29, 424, 456, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 916, 139, 652
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• GCD of 85, 509, 815, 581

1. What is the GCD of 29, 424, 456, 689?

GCD of 29, 424, 456, 689 is 1

2. Where do I get the detailed procedure to find GCD of 29, 424, 456, 689?

You can find a detailed procedure to find GCD of 29, 424, 456, 689 on our page.

3. How to find GCD of 29, 424, 456, 689 on a calculator?

You can find the GCD of 29, 424, 456, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.