GCD of 358, 205, 958, 585 Calculator

Given Input numbers are 358, 205, 958, 585

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

Divisors of 358

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

1, 2, 179, 358

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

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

Greatest Common Divisior

We found the divisors of 358, 205, 958, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 205, 958, 585 is 1.

Therefore, GCD of numbers 358, 205, 958, 585 is 1

Given Input Data is 358, 205, 958, 585

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 205 is 5 x 41

Prime Factorization of 958 is 2 x 479

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

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(358, 205) = 73390

GCD(358, 205) = ( 358 x 205 ) / 73390

GCD(358, 205) = 73390 / 73390

GCD(358, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

Step3:

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

GCD of 358, 205, 958, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 511, 303, 175
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• GCD of 826, 967, 957, 646

1. What is the GCD of 358, 205, 958, 585?

GCD of 358, 205, 958, 585 is 1

2. Where do I get the detailed procedure to find GCD of 358, 205, 958, 585?

You can find a detailed procedure to find GCD of 358, 205, 958, 585 on our page.

3. How to find GCD of 358, 205, 958, 585 on a calculator?

You can find the GCD of 358, 205, 958, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.