GCD of 255, 355, 691, 295 Calculator

Given Input numbers are 255, 355, 691, 295

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 355

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

1, 5, 71, 355

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 255, 355, 691, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 355, 691, 295 is 1.

Therefore, GCD of numbers 255, 355, 691, 295 is 1

Given Input Data is 255, 355, 691, 295

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 355 is 5 x 71

Prime Factorization of 691 is 691

Prime Factorization of 295 is 5 x 59

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, 355) = 18105

GCD(255, 355) = ( 255 x 355 ) / 18105

GCD(255, 355) = 90525 / 18105

GCD(255, 355) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 691

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

LCM(5, 691) = 3455

GCD(5, 691) = ( 5 x 691 ) / 3455

GCD(5, 691) = 3455 / 3455

GCD(5, 691) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 255, 355, 691, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 243, 817, 601
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1. What is the GCD of 255, 355, 691, 295?

GCD of 255, 355, 691, 295 is 1

2. Where do I get the detailed procedure to find GCD of 255, 355, 691, 295?

You can find a detailed procedure to find GCD of 255, 355, 691, 295 on our page.

3. How to find GCD of 255, 355, 691, 295 on a calculator?

You can find the GCD of 255, 355, 691, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.