GCD of 759, 230, 464, 459 Calculator

Given Input numbers are 759, 230, 464, 459

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 759, 230, 464, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 230, 464, 459 is 1.

Therefore, GCD of numbers 759, 230, 464, 459 is 1

Given Input Data is 759, 230, 464, 459

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(759, 230) = 7590

GCD(759, 230) = ( 759 x 230 ) / 7590

GCD(759, 230) = 174570 / 7590

GCD(759, 230) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 464

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

LCM(23, 464) = 10672

GCD(23, 464) = ( 23 x 464 ) / 10672

GCD(23, 464) = 10672 / 10672

GCD(23, 464) = 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 759, 230, 464, 459 is 1

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• GCD of 258, 562, 798, 616
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1. What is the GCD of 759, 230, 464, 459?

GCD of 759, 230, 464, 459 is 1

2. Where do I get the detailed procedure to find GCD of 759, 230, 464, 459?

You can find a detailed procedure to find GCD of 759, 230, 464, 459 on our page.

3. How to find GCD of 759, 230, 464, 459 on a calculator?

You can find the GCD of 759, 230, 464, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.