GCD of 855, 609, 696, 774 Calculator

Given Input numbers are 855, 609, 696, 774

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 855, 609, 696, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 609, 696, 774 is 3.

Therefore, GCD of numbers 855, 609, 696, 774 is 3

Given Input Data is 855, 609, 696, 774

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 609 is 3 x 7 x 29

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 774 is 2 x 3 x 3 x 43

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 609) = 173565

GCD(855, 609) = ( 855 x 609 ) / 173565

GCD(855, 609) = 520695 / 173565

GCD(855, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 696

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

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

GCD(3, 696) = 2088 / 696

GCD(3, 696) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 774

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

LCM(3, 774) = 774

GCD(3, 774) = ( 3 x 774 ) / 774

GCD(3, 774) = 2322 / 774

GCD(3, 774) = 3

GCD of 855, 609, 696, 774 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 680, 329, 724
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• GCD of 358, 609, 630, 963
• GCD of 378, 660, 489, 288
• GCD of 592, 150, 315, 996

1. What is the GCD of 855, 609, 696, 774?

GCD of 855, 609, 696, 774 is 3

2. Where do I get the detailed procedure to find GCD of 855, 609, 696, 774?

You can find a detailed procedure to find GCD of 855, 609, 696, 774 on our page.

3. How to find GCD of 855, 609, 696, 774 on a calculator?

You can find the GCD of 855, 609, 696, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.