GCD of 451, 369, 328, 864 Calculator

Given Input numbers are 451, 369, 328, 864

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

Divisors of 451

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

1, 11, 41, 451

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

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

Greatest Common Divisior

We found the divisors of 451, 369, 328, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 451, 369, 328, 864 is 1.

Therefore, GCD of numbers 451, 369, 328, 864 is 1

Given Input Data is 451, 369, 328, 864

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

Prime Factorization of 451 is 11 x 41

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 328 is 2 x 2 x 2 x 41

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

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(451, 369) = 4059

GCD(451, 369) = ( 451 x 369 ) / 4059

GCD(451, 369) = 166419 / 4059

GCD(451, 369) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 328

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

LCM(41, 328) = 328

GCD(41, 328) = ( 41 x 328 ) / 328

GCD(41, 328) = 13448 / 328

GCD(41, 328) = 41

Step3:

Here we consider the GCD from the above i.e. 41 as first number and the next as 864

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

LCM(41, 864) = 35424

GCD(41, 864) = ( 41 x 864 ) / 35424

GCD(41, 864) = 35424 / 35424

GCD(41, 864) = 1

GCD of 451, 369, 328, 864 is 1

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1. What is the GCD of 451, 369, 328, 864?

GCD of 451, 369, 328, 864 is 1

2. Where do I get the detailed procedure to find GCD of 451, 369, 328, 864?

You can find a detailed procedure to find GCD of 451, 369, 328, 864 on our page.

3. How to find GCD of 451, 369, 328, 864 on a calculator?

You can find the GCD of 451, 369, 328, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.