GCD of 864, 397, 682, 521 Calculator

Given Input numbers are 864, 397, 682, 521

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 864, 397, 682, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 397, 682, 521 is 1.

Therefore, GCD of numbers 864, 397, 682, 521 is 1

Given Input Data is 864, 397, 682, 521

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 397 is 397

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 521 is 521

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(864, 397) = 343008

GCD(864, 397) = ( 864 x 397 ) / 343008

GCD(864, 397) = 343008 / 343008

GCD(864, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

GCD of 864, 397, 682, 521 is 1

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1. What is the GCD of 864, 397, 682, 521?

GCD of 864, 397, 682, 521 is 1

2. Where do I get the detailed procedure to find GCD of 864, 397, 682, 521?

You can find a detailed procedure to find GCD of 864, 397, 682, 521 on our page.

3. How to find GCD of 864, 397, 682, 521 on a calculator?

You can find the GCD of 864, 397, 682, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.