GCD of 36, 358, 585, 982 Calculator

Given Input numbers are 36, 358, 585, 982

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

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 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 36, 358, 585, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 358, 585, 982 is 1.

Therefore, GCD of numbers 36, 358, 585, 982 is 1

Given Input Data is 36, 358, 585, 982

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 358 is 2 x 179

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

Prime Factorization of 982 is 2 x 491

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(36, 358) = 6444

GCD(36, 358) = ( 36 x 358 ) / 6444

GCD(36, 358) = 12888 / 6444

GCD(36, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 585

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

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

GCD(2, 585) = 1170 / 1170

GCD(2, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 36, 358, 585, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 420, 478, 609
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• GCD of 82, 607, 728, 969
• GCD of 14, 210, 795, 819
• GCD of 70, 935, 165, 366

1. What is the GCD of 36, 358, 585, 982?

GCD of 36, 358, 585, 982 is 1

2. Where do I get the detailed procedure to find GCD of 36, 358, 585, 982?

You can find a detailed procedure to find GCD of 36, 358, 585, 982 on our page.

3. How to find GCD of 36, 358, 585, 982 on a calculator?

You can find the GCD of 36, 358, 585, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.