GCD of 821, 226, 733, 357 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 821, 226, 733, 357 i.e. 1 largest integer that divides all the numbers equally.

GCD of 821, 226, 733, 357 is 1

GCD(821, 226, 733, 357) = 1

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

GCD of

GCD of numbers 821, 226, 733, 357 is 1

GCD(821, 226, 733, 357) = 1

GCD of 821,226,733,357 Calculator

GCDof 821,226,733,357 is 1

Given Input numbers are 821, 226, 733, 357

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 357

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

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

Greatest Common Divisior

We found the divisors of 821, 226, 733, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 226, 733, 357 is 1.

Therefore, GCD of numbers 821, 226, 733, 357 is 1

Finding GCD of 821, 226, 733, 357 using Prime Factorization

Given Input Data is 821, 226, 733, 357

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

Prime Factorization of 821 is 821

Prime Factorization of 226 is 2 x 113

Prime Factorization of 733 is 733

Prime Factorization of 357 is 3 x 7 x 17

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

Finding GCD of 821, 226, 733, 357 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(821, 226) = 185546

GCD(821, 226) = ( 821 x 226 ) / 185546

GCD(821, 226) = 185546 / 185546

GCD(821, 226) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 821, 226, 733, 357 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 821, 226, 733, 357

1. What is the GCD of 821, 226, 733, 357?

GCD of 821, 226, 733, 357 is 1


2. Where do I get the detailed procedure to find GCD of 821, 226, 733, 357?

You can find a detailed procedure to find GCD of 821, 226, 733, 357 on our page.


3. How to find GCD of 821, 226, 733, 357 on a calculator?

You can find the GCD of 821, 226, 733, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.