GCD of 827, 416, 52, 459 Calculator

Given Input numbers are 827, 416, 52, 459

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 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 827, 416, 52, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 416, 52, 459 is 1.

Therefore, GCD of numbers 827, 416, 52, 459 is 1

Given Input Data is 827, 416, 52, 459

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

Prime Factorization of 827 is 827

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 459 is 3 x 3 x 3 x 17

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, 416) = 344032

GCD(827, 416) = ( 827 x 416 ) / 344032

GCD(827, 416) = 344032 / 344032

GCD(827, 416) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 827, 416, 52, 459 is 1

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• GCD of 603, 494, 36, 445
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• GCD of 295, 460, 78, 555

1. What is the GCD of 827, 416, 52, 459?

GCD of 827, 416, 52, 459 is 1

2. Where do I get the detailed procedure to find GCD of 827, 416, 52, 459?

You can find a detailed procedure to find GCD of 827, 416, 52, 459 on our page.

3. How to find GCD of 827, 416, 52, 459 on a calculator?

You can find the GCD of 827, 416, 52, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.