GCD of 685, 289, 76, 585 Calculator

Given Input numbers are 685, 289, 76, 585

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

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 685, 289, 76, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 289, 76, 585 is 1.

Therefore, GCD of numbers 685, 289, 76, 585 is 1

Given Input Data is 685, 289, 76, 585

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

Prime Factorization of 685 is 5 x 137

Prime Factorization of 289 is 17 x 17

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(685, 289) = 197965

GCD(685, 289) = ( 685 x 289 ) / 197965

GCD(685, 289) = 197965 / 197965

GCD(685, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 685, 289, 76, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 133, 59, 706
• GCD of 451, 861, 35, 915
• GCD of 280, 828, 48, 403
• GCD of 515, 539, 97, 112
• GCD of 763, 365, 80, 559

1. What is the GCD of 685, 289, 76, 585?

GCD of 685, 289, 76, 585 is 1

2. Where do I get the detailed procedure to find GCD of 685, 289, 76, 585?

You can find a detailed procedure to find GCD of 685, 289, 76, 585 on our page.

3. How to find GCD of 685, 289, 76, 585 on a calculator?

You can find the GCD of 685, 289, 76, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.