GCD of 255, 421, 83, 361 Calculator

Given Input numbers are 255, 421, 83, 361

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 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 255, 421, 83, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 421, 83, 361 is 1.

Therefore, GCD of numbers 255, 421, 83, 361 is 1

Given Input Data is 255, 421, 83, 361

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 421 is 421

Prime Factorization of 83 is 83

Prime Factorization of 361 is 19 x 19

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, 421) = 107355

GCD(255, 421) = ( 255 x 421 ) / 107355

GCD(255, 421) = 107355 / 107355

GCD(255, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 255, 421, 83, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 304, 23, 403
• GCD of 183, 466, 66, 625
• GCD of 973, 346, 35, 561
• GCD of 846, 849, 78, 758
• GCD of 387, 114, 60, 659

1. What is the GCD of 255, 421, 83, 361?

GCD of 255, 421, 83, 361 is 1

2. Where do I get the detailed procedure to find GCD of 255, 421, 83, 361?

You can find a detailed procedure to find GCD of 255, 421, 83, 361 on our page.

3. How to find GCD of 255, 421, 83, 361 on a calculator?

You can find the GCD of 255, 421, 83, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.