GCD of 255, 958, 665, 204 Calculator

Given Input numbers are 255, 958, 665, 204

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 958

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

1, 2, 479, 958

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 255, 958, 665, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 958, 665, 204 is 1.

Therefore, GCD of numbers 255, 958, 665, 204 is 1

Given Input Data is 255, 958, 665, 204

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 958 is 2 x 479

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(255, 958) = 244290

GCD(255, 958) = ( 255 x 958 ) / 244290

GCD(255, 958) = 244290 / 244290

GCD(255, 958) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 665

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

LCM(1, 665) = 665

GCD(1, 665) = ( 1 x 665 ) / 665

GCD(1, 665) = 665 / 665

GCD(1, 665) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 255, 958, 665, 204 is 1

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1. What is the GCD of 255, 958, 665, 204?

GCD of 255, 958, 665, 204 is 1

2. Where do I get the detailed procedure to find GCD of 255, 958, 665, 204?

You can find a detailed procedure to find GCD of 255, 958, 665, 204 on our page.

3. How to find GCD of 255, 958, 665, 204 on a calculator?

You can find the GCD of 255, 958, 665, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.