GCD of 565, 718, 321, 460 Calculator

Given Input numbers are 565, 718, 321, 460

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 565, 718, 321, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 718, 321, 460 is 1.

Therefore, GCD of numbers 565, 718, 321, 460 is 1

Given Input Data is 565, 718, 321, 460

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 718 is 2 x 359

Prime Factorization of 321 is 3 x 107

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(565, 718) = 405670

GCD(565, 718) = ( 565 x 718 ) / 405670

GCD(565, 718) = 405670 / 405670

GCD(565, 718) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 565, 718, 321, 460 is 1

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1. What is the GCD of 565, 718, 321, 460?

GCD of 565, 718, 321, 460 is 1

2. Where do I get the detailed procedure to find GCD of 565, 718, 321, 460?

You can find a detailed procedure to find GCD of 565, 718, 321, 460 on our page.

3. How to find GCD of 565, 718, 321, 460 on a calculator?

You can find the GCD of 565, 718, 321, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.