GCD of 357, 663, 22, 512 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 357, 663, 22, 512 i.e. 1 largest integer that divides all the numbers equally.

GCD of 357, 663, 22, 512 is 1

GCD(357, 663, 22, 512) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 357, 663, 22, 512 is 1

GCD(357, 663, 22, 512) = 1

GCD of 357,663,22,512 Calculator

GCDof 357,663,22,512 is 1

Given Input numbers are 357, 663, 22, 512

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 22

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

1, 2, 11, 22

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 357, 663, 22, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 663, 22, 512 is 1.

Therefore, GCD of numbers 357, 663, 22, 512 is 1

Finding GCD of 357, 663, 22, 512 using Prime Factorization

Given Input Data is 357, 663, 22, 512

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 22 is 2 x 11

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 357, 663, 22, 512 using LCM Formula

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(357, 663) = 4641

GCD(357, 663) = ( 357 x 663 ) / 4641

GCD(357, 663) = 236691 / 4641

GCD(357, 663) = 51


Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 22

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

LCM(51, 22) = 1122

GCD(51, 22) = ( 51 x 22 ) / 1122

GCD(51, 22) = 1122 / 1122

GCD(51, 22) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 357, 663, 22, 512 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 357, 663, 22, 512

1. What is the GCD of 357, 663, 22, 512?

GCD of 357, 663, 22, 512 is 1


2. Where do I get the detailed procedure to find GCD of 357, 663, 22, 512?

You can find a detailed procedure to find GCD of 357, 663, 22, 512 on our page.


3. How to find GCD of 357, 663, 22, 512 on a calculator?

You can find the GCD of 357, 663, 22, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.