GCD of 864, 446, 813, 451 Calculator

Given Input numbers are 864, 446, 813, 451

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 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Greatest Common Divisior

We found the divisors of 864, 446, 813, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 446, 813, 451 is 1.

Therefore, GCD of numbers 864, 446, 813, 451 is 1

Given Input Data is 864, 446, 813, 451

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 446 is 2 x 223

Prime Factorization of 813 is 3 x 271

Prime Factorization of 451 is 11 x 41

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, 446) = 192672

GCD(864, 446) = ( 864 x 446 ) / 192672

GCD(864, 446) = 385344 / 192672

GCD(864, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 813

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

LCM(2, 813) = 1626

GCD(2, 813) = ( 2 x 813 ) / 1626

GCD(2, 813) = 1626 / 1626

GCD(2, 813) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 451

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

LCM(1, 451) = 451

GCD(1, 451) = ( 1 x 451 ) / 451

GCD(1, 451) = 451 / 451

GCD(1, 451) = 1

GCD of 864, 446, 813, 451 is 1

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1. What is the GCD of 864, 446, 813, 451?

GCD of 864, 446, 813, 451 is 1

2. Where do I get the detailed procedure to find GCD of 864, 446, 813, 451?

You can find a detailed procedure to find GCD of 864, 446, 813, 451 on our page.

3. How to find GCD of 864, 446, 813, 451 on a calculator?

You can find the GCD of 864, 446, 813, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.