GCD of 828, 812, 473, 366 Calculator

Given Input numbers are 828, 812, 473, 366

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 828, 812, 473, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 812, 473, 366 is 1.

Therefore, GCD of numbers 828, 812, 473, 366 is 1

Given Input Data is 828, 812, 473, 366

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 473 is 11 x 43

Prime Factorization of 366 is 2 x 3 x 61

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(828, 812) = 168084

GCD(828, 812) = ( 828 x 812 ) / 168084

GCD(828, 812) = 672336 / 168084

GCD(828, 812) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 473

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

LCM(4, 473) = 1892

GCD(4, 473) = ( 4 x 473 ) / 1892

GCD(4, 473) = 1892 / 1892

GCD(4, 473) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

GCD of 828, 812, 473, 366 is 1

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1. What is the GCD of 828, 812, 473, 366?

GCD of 828, 812, 473, 366 is 1

2. Where do I get the detailed procedure to find GCD of 828, 812, 473, 366?

You can find a detailed procedure to find GCD of 828, 812, 473, 366 on our page.

3. How to find GCD of 828, 812, 473, 366 on a calculator?

You can find the GCD of 828, 812, 473, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.