GCD of 355, 301, 282, 563 Calculator

Given Input numbers are 355, 301, 282, 563

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

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 563

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

1, 563

Greatest Common Divisior

We found the divisors of 355, 301, 282, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 301, 282, 563 is 1.

Therefore, GCD of numbers 355, 301, 282, 563 is 1

Given Input Data is 355, 301, 282, 563

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 301 is 7 x 43

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 563 is 563

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, 301) = 106855

GCD(355, 301) = ( 355 x 301 ) / 106855

GCD(355, 301) = 106855 / 106855

GCD(355, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 355, 301, 282, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 181, 353, 716
• GCD of 942, 199, 836, 101
• GCD of 801, 893, 804, 119
• GCD of 539, 149, 121, 516
• GCD of 408, 165, 331, 789

1. What is the GCD of 355, 301, 282, 563?

GCD of 355, 301, 282, 563 is 1

2. Where do I get the detailed procedure to find GCD of 355, 301, 282, 563?

You can find a detailed procedure to find GCD of 355, 301, 282, 563 on our page.

3. How to find GCD of 355, 301, 282, 563 on a calculator?

You can find the GCD of 355, 301, 282, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.