GCD of 563, 742, 33, 255 Calculator

Given Input numbers are 563, 742, 33, 255

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

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 563, 742, 33, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 742, 33, 255 is 1.

Therefore, GCD of numbers 563, 742, 33, 255 is 1

Given Input Data is 563, 742, 33, 255

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

Prime Factorization of 563 is 563

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 33 is 3 x 11

Prime Factorization of 255 is 3 x 5 x 17

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(563, 742) = 417746

GCD(563, 742) = ( 563 x 742 ) / 417746

GCD(563, 742) = 417746 / 417746

GCD(563, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

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

GCD of 563, 742, 33, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 357, 87, 867
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• GCD of 636, 529, 43, 643

1. What is the GCD of 563, 742, 33, 255?

GCD of 563, 742, 33, 255 is 1

2. Where do I get the detailed procedure to find GCD of 563, 742, 33, 255?

You can find a detailed procedure to find GCD of 563, 742, 33, 255 on our page.

3. How to find GCD of 563, 742, 33, 255 on a calculator?

You can find the GCD of 563, 742, 33, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.