GCD of 689, 725, 717, 422 Calculator

Given Input numbers are 689, 725, 717, 422

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

Divisors of 689

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

1, 13, 53, 689

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

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 689, 725, 717, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 725, 717, 422 is 1.

Therefore, GCD of numbers 689, 725, 717, 422 is 1

Given Input Data is 689, 725, 717, 422

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 717 is 3 x 239

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(689, 725) = 499525

GCD(689, 725) = ( 689 x 725 ) / 499525

GCD(689, 725) = 499525 / 499525

GCD(689, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 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 689, 725, 717, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 356, 107, 250
• GCD of 158, 295, 211, 356
• GCD of 959, 629, 799, 476
• GCD of 279, 533, 849, 274
• GCD of 219, 898, 270, 870

1. What is the GCD of 689, 725, 717, 422?

GCD of 689, 725, 717, 422 is 1

2. Where do I get the detailed procedure to find GCD of 689, 725, 717, 422?

You can find a detailed procedure to find GCD of 689, 725, 717, 422 on our page.

3. How to find GCD of 689, 725, 717, 422 on a calculator?

You can find the GCD of 689, 725, 717, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.