GCD of 255, 458, 105, 477 Calculator

Given Input numbers are 255, 458, 105, 477

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 255, 458, 105, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 458, 105, 477 is 1.

Therefore, GCD of numbers 255, 458, 105, 477 is 1

Given Input Data is 255, 458, 105, 477

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 458 is 2 x 229

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 477 is 3 x 3 x 53

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, 458) = 116790

GCD(255, 458) = ( 255 x 458 ) / 116790

GCD(255, 458) = 116790 / 116790

GCD(255, 458) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

GCD of 255, 458, 105, 477 is 1

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• GCD of 344, 254, 853, 363
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• GCD of 195, 346, 571, 963

1. What is the GCD of 255, 458, 105, 477?

GCD of 255, 458, 105, 477 is 1

2. Where do I get the detailed procedure to find GCD of 255, 458, 105, 477?

You can find a detailed procedure to find GCD of 255, 458, 105, 477 on our page.

3. How to find GCD of 255, 458, 105, 477 on a calculator?

You can find the GCD of 255, 458, 105, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.