GCD of 689, 613, 694, 408 Calculator

Given Input numbers are 689, 613, 694, 408

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 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 689, 613, 694, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 613, 694, 408 is 1.

Therefore, GCD of numbers 689, 613, 694, 408 is 1

Given Input Data is 689, 613, 694, 408

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 613 is 613

Prime Factorization of 694 is 2 x 347

Prime Factorization of 408 is 2 x 2 x 2 x 3 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(689, 613) = 422357

GCD(689, 613) = ( 689 x 613 ) / 422357

GCD(689, 613) = 422357 / 422357

GCD(689, 613) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 689, 613, 694, 408 is 1

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1. What is the GCD of 689, 613, 694, 408?

GCD of 689, 613, 694, 408 is 1

2. Where do I get the detailed procedure to find GCD of 689, 613, 694, 408?

You can find a detailed procedure to find GCD of 689, 613, 694, 408 on our page.

3. How to find GCD of 689, 613, 694, 408 on a calculator?

You can find the GCD of 689, 613, 694, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.