GCD of 355, 287, 22, 484 Calculator

Given Input numbers are 355, 287, 22, 484

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

Divisors of 355

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

1, 5, 71, 355

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 355, 287, 22, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 287, 22, 484 is 1.

Therefore, GCD of numbers 355, 287, 22, 484 is 1

Given Input Data is 355, 287, 22, 484

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 287 is 7 x 41

Prime Factorization of 22 is 2 x 11

Prime Factorization of 484 is 2 x 2 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(355, 287) = 101885

GCD(355, 287) = ( 355 x 287 ) / 101885

GCD(355, 287) = 101885 / 101885

GCD(355, 287) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 355, 287, 22, 484 is 1

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• GCD of 313, 716, 39, 658
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• GCD of 317, 780, 23, 387

1. What is the GCD of 355, 287, 22, 484?

GCD of 355, 287, 22, 484 is 1

2. Where do I get the detailed procedure to find GCD of 355, 287, 22, 484?

You can find a detailed procedure to find GCD of 355, 287, 22, 484 on our page.

3. How to find GCD of 355, 287, 22, 484 on a calculator?

You can find the GCD of 355, 287, 22, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.