GCD of 855, 332, 596, 744 Calculator

Given Input numbers are 855, 332, 596, 744

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 855, 332, 596, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 332, 596, 744 is 1.

Therefore, GCD of numbers 855, 332, 596, 744 is 1

Given Input Data is 855, 332, 596, 744

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 332 is 2 x 2 x 83

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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, 332) = 283860

GCD(855, 332) = ( 855 x 332 ) / 283860

GCD(855, 332) = 283860 / 283860

GCD(855, 332) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 855, 332, 596, 744 is 1

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1. What is the GCD of 855, 332, 596, 744?

GCD of 855, 332, 596, 744 is 1

2. Where do I get the detailed procedure to find GCD of 855, 332, 596, 744?

You can find a detailed procedure to find GCD of 855, 332, 596, 744 on our page.

3. How to find GCD of 855, 332, 596, 744 on a calculator?

You can find the GCD of 855, 332, 596, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.