GCD of 827, 567, 54, 468 Calculator

Given Input numbers are 827, 567, 54, 468

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 827, 567, 54, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 567, 54, 468 is 1.

Therefore, GCD of numbers 827, 567, 54, 468 is 1

Given Input Data is 827, 567, 54, 468

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

Prime Factorization of 827 is 827

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(827, 567) = 468909

GCD(827, 567) = ( 827 x 567 ) / 468909

GCD(827, 567) = 468909 / 468909

GCD(827, 567) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 827, 567, 54, 468 is 1

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1. What is the GCD of 827, 567, 54, 468?

GCD of 827, 567, 54, 468 is 1

2. Where do I get the detailed procedure to find GCD of 827, 567, 54, 468?

You can find a detailed procedure to find GCD of 827, 567, 54, 468 on our page.

3. How to find GCD of 827, 567, 54, 468 on a calculator?

You can find the GCD of 827, 567, 54, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.