GCD of 758, 585, 32, 459 Calculator

Given Input numbers are 758, 585, 32, 459

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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 758, 585, 32, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 585, 32, 459 is 1.

Therefore, GCD of numbers 758, 585, 32, 459 is 1

Given Input Data is 758, 585, 32, 459

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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(758, 585) = 443430

GCD(758, 585) = ( 758 x 585 ) / 443430

GCD(758, 585) = 443430 / 443430

GCD(758, 585) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 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 758, 585, 32, 459 is 1

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1. What is the GCD of 758, 585, 32, 459?

GCD of 758, 585, 32, 459 is 1

2. Where do I get the detailed procedure to find GCD of 758, 585, 32, 459?

You can find a detailed procedure to find GCD of 758, 585, 32, 459 on our page.

3. How to find GCD of 758, 585, 32, 459 on a calculator?

You can find the GCD of 758, 585, 32, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.