GCD of 689, 437, 605, 683 Calculator

Given Input numbers are 689, 437, 605, 683

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 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 689, 437, 605, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 437, 605, 683 is 1.

Therefore, GCD of numbers 689, 437, 605, 683 is 1

Given Input Data is 689, 437, 605, 683

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 437 is 19 x 23

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 683 is 683

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, 437) = 301093

GCD(689, 437) = ( 689 x 437 ) / 301093

GCD(689, 437) = 301093 / 301093

GCD(689, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 689, 437, 605, 683 is 1

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1. What is the GCD of 689, 437, 605, 683?

GCD of 689, 437, 605, 683 is 1

2. Where do I get the detailed procedure to find GCD of 689, 437, 605, 683?

You can find a detailed procedure to find GCD of 689, 437, 605, 683 on our page.

3. How to find GCD of 689, 437, 605, 683 on a calculator?

You can find the GCD of 689, 437, 605, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.