GCD of 282, 921, 254, 363 Calculator

Given Input numbers are 282, 921, 254, 363

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 282, 921, 254, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 921, 254, 363 is 1.

Therefore, GCD of numbers 282, 921, 254, 363 is 1

Given Input Data is 282, 921, 254, 363

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 921 is 3 x 307

Prime Factorization of 254 is 2 x 127

Prime Factorization of 363 is 3 x 11 x 11

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(282, 921) = 86574

GCD(282, 921) = ( 282 x 921 ) / 86574

GCD(282, 921) = 259722 / 86574

GCD(282, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 254

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

LCM(3, 254) = 762

GCD(3, 254) = ( 3 x 254 ) / 762

GCD(3, 254) = 762 / 762

GCD(3, 254) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 282, 921, 254, 363 is 1

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1. What is the GCD of 282, 921, 254, 363?

GCD of 282, 921, 254, 363 is 1

2. Where do I get the detailed procedure to find GCD of 282, 921, 254, 363?

You can find a detailed procedure to find GCD of 282, 921, 254, 363 on our page.

3. How to find GCD of 282, 921, 254, 363 on a calculator?

You can find the GCD of 282, 921, 254, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.