GCD of 983, 655, 585, 828 Calculator

Given Input numbers are 983, 655, 585, 828

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 983, 655, 585, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 655, 585, 828 is 1.

Therefore, GCD of numbers 983, 655, 585, 828 is 1

Given Input Data is 983, 655, 585, 828

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

Prime Factorization of 983 is 983

Prime Factorization of 655 is 5 x 131

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(983, 655) = 643865

GCD(983, 655) = ( 983 x 655 ) / 643865

GCD(983, 655) = 643865 / 643865

GCD(983, 655) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 983, 655, 585, 828 is 1

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1. What is the GCD of 983, 655, 585, 828?

GCD of 983, 655, 585, 828 is 1

2. Where do I get the detailed procedure to find GCD of 983, 655, 585, 828?

You can find a detailed procedure to find GCD of 983, 655, 585, 828 on our page.

3. How to find GCD of 983, 655, 585, 828 on a calculator?

You can find the GCD of 983, 655, 585, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.