GCD of 389, 716, 689, 884 Calculator

Given Input numbers are 389, 716, 689, 884

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 689

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

1, 13, 53, 689

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 389, 716, 689, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 716, 689, 884 is 1.

Therefore, GCD of numbers 389, 716, 689, 884 is 1

Given Input Data is 389, 716, 689, 884

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

Prime Factorization of 389 is 389

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 689 is 13 x 53

Prime Factorization of 884 is 2 x 2 x 13 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(389, 716) = 278524

GCD(389, 716) = ( 389 x 716 ) / 278524

GCD(389, 716) = 278524 / 278524

GCD(389, 716) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 389, 716, 689, 884 is 1

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1. What is the GCD of 389, 716, 689, 884?

GCD of 389, 716, 689, 884 is 1

2. Where do I get the detailed procedure to find GCD of 389, 716, 689, 884?

You can find a detailed procedure to find GCD of 389, 716, 689, 884 on our page.

3. How to find GCD of 389, 716, 689, 884 on a calculator?

You can find the GCD of 389, 716, 689, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.