GCD of 821, 369, 363, 469 Calculator

Given Input numbers are 821, 369, 363, 469

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 821, 369, 363, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 369, 363, 469 is 1.

Therefore, GCD of numbers 821, 369, 363, 469 is 1

Given Input Data is 821, 369, 363, 469

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

Prime Factorization of 821 is 821

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 469 is 7 x 67

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(821, 369) = 302949

GCD(821, 369) = ( 821 x 369 ) / 302949

GCD(821, 369) = 302949 / 302949

GCD(821, 369) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 821, 369, 363, 469 is 1

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1. What is the GCD of 821, 369, 363, 469?

GCD of 821, 369, 363, 469 is 1

2. Where do I get the detailed procedure to find GCD of 821, 369, 363, 469?

You can find a detailed procedure to find GCD of 821, 369, 363, 469 on our page.

3. How to find GCD of 821, 369, 363, 469 on a calculator?

You can find the GCD of 821, 369, 363, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.