GCD of 827, 440, 596, 566 Calculator

Given Input numbers are 827, 440, 596, 566

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 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 827, 440, 596, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 440, 596, 566 is 1.

Therefore, GCD of numbers 827, 440, 596, 566 is 1

Given Input Data is 827, 440, 596, 566

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

Prime Factorization of 827 is 827

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 566 is 2 x 283

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, 440) = 363880

GCD(827, 440) = ( 827 x 440 ) / 363880

GCD(827, 440) = 363880 / 363880

GCD(827, 440) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 827, 440, 596, 566 is 1

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1. What is the GCD of 827, 440, 596, 566?

GCD of 827, 440, 596, 566 is 1

2. Where do I get the detailed procedure to find GCD of 827, 440, 596, 566?

You can find a detailed procedure to find GCD of 827, 440, 596, 566 on our page.

3. How to find GCD of 827, 440, 596, 566 on a calculator?

You can find the GCD of 827, 440, 596, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.