GCD of 504, 369, 292, 822 Calculator

Given Input numbers are 504, 369, 292, 822

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 369

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

1, 3, 9, 41, 123, 369

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 504, 369, 292, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 369, 292, 822 is 1.

Therefore, GCD of numbers 504, 369, 292, 822 is 1

Given Input Data is 504, 369, 292, 822

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 822 is 2 x 3 x 137

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(504, 369) = 20664

GCD(504, 369) = ( 504 x 369 ) / 20664

GCD(504, 369) = 185976 / 20664

GCD(504, 369) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 292

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

LCM(9, 292) = 2628

GCD(9, 292) = ( 9 x 292 ) / 2628

GCD(9, 292) = 2628 / 2628

GCD(9, 292) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 504, 369, 292, 822 is 1

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1. What is the GCD of 504, 369, 292, 822?

GCD of 504, 369, 292, 822 is 1

2. Where do I get the detailed procedure to find GCD of 504, 369, 292, 822?

You can find a detailed procedure to find GCD of 504, 369, 292, 822 on our page.

3. How to find GCD of 504, 369, 292, 822 on a calculator?

You can find the GCD of 504, 369, 292, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.