GCD of 255, 418, 695, 565 Calculator

Given Input numbers are 255, 418, 695, 565

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 255, 418, 695, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 418, 695, 565 is 1.

Therefore, GCD of numbers 255, 418, 695, 565 is 1

Given Input Data is 255, 418, 695, 565

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 418 is 2 x 11 x 19

Prime Factorization of 695 is 5 x 139

Prime Factorization of 565 is 5 x 113

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, 418) = 106590

GCD(255, 418) = ( 255 x 418 ) / 106590

GCD(255, 418) = 106590 / 106590

GCD(255, 418) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 255, 418, 695, 565 is 1

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1. What is the GCD of 255, 418, 695, 565?

GCD of 255, 418, 695, 565 is 1

2. Where do I get the detailed procedure to find GCD of 255, 418, 695, 565?

You can find a detailed procedure to find GCD of 255, 418, 695, 565 on our page.

3. How to find GCD of 255, 418, 695, 565 on a calculator?

You can find the GCD of 255, 418, 695, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.