GCD of 301, 253, 255, 355 Calculator

Given Input numbers are 301, 253, 255, 355

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

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 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 301, 253, 255, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 253, 255, 355 is 1.

Therefore, GCD of numbers 301, 253, 255, 355 is 1

Given Input Data is 301, 253, 255, 355

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 253 is 11 x 23

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 355 is 5 x 71

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(301, 253) = 76153

GCD(301, 253) = ( 301 x 253 ) / 76153

GCD(301, 253) = 76153 / 76153

GCD(301, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 301, 253, 255, 355 is 1

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1. What is the GCD of 301, 253, 255, 355?

GCD of 301, 253, 255, 355 is 1

2. Where do I get the detailed procedure to find GCD of 301, 253, 255, 355?

You can find a detailed procedure to find GCD of 301, 253, 255, 355 on our page.

3. How to find GCD of 301, 253, 255, 355 on a calculator?

You can find the GCD of 301, 253, 255, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.