GCD of 689, 809, 80, 564 Calculator

Given Input numbers are 689, 809, 80, 564

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 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 689, 809, 80, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 809, 80, 564 is 1.

Therefore, GCD of numbers 689, 809, 80, 564 is 1

Given Input Data is 689, 809, 80, 564

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 809 is 809

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 564 is 2 x 2 x 3 x 47

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, 809) = 557401

GCD(689, 809) = ( 689 x 809 ) / 557401

GCD(689, 809) = 557401 / 557401

GCD(689, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 689, 809, 80, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 898, 72, 912
• GCD of 195, 600, 62, 874
• GCD of 518, 290, 75, 392
• GCD of 571, 126, 57, 192
• GCD of 877, 300, 75, 529

1. What is the GCD of 689, 809, 80, 564?

GCD of 689, 809, 80, 564 is 1

2. Where do I get the detailed procedure to find GCD of 689, 809, 80, 564?

You can find a detailed procedure to find GCD of 689, 809, 80, 564 on our page.

3. How to find GCD of 689, 809, 80, 564 on a calculator?

You can find the GCD of 689, 809, 80, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.