GCD of 855, 279, 80, 658 Calculator

Given Input numbers are 855, 279, 80, 658

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

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 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 855, 279, 80, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 279, 80, 658 is 1.

Therefore, GCD of numbers 855, 279, 80, 658 is 1

Given Input Data is 855, 279, 80, 658

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 279 is 3 x 3 x 31

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

Prime Factorization of 658 is 2 x 7 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(855, 279) = 26505

GCD(855, 279) = ( 855 x 279 ) / 26505

GCD(855, 279) = 238545 / 26505

GCD(855, 279) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 80

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

LCM(9, 80) = 720

GCD(9, 80) = ( 9 x 80 ) / 720

GCD(9, 80) = 720 / 720

GCD(9, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 855, 279, 80, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 205, 85, 332
• GCD of 978, 666, 24, 705
• GCD of 769, 371, 61, 473
• GCD of 583, 454, 52, 225
• GCD of 535, 477, 89, 637

1. What is the GCD of 855, 279, 80, 658?

GCD of 855, 279, 80, 658 is 1

2. Where do I get the detailed procedure to find GCD of 855, 279, 80, 658?

You can find a detailed procedure to find GCD of 855, 279, 80, 658 on our page.

3. How to find GCD of 855, 279, 80, 658 on a calculator?

You can find the GCD of 855, 279, 80, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.