GCD of 68, 509, 500, 460 Calculator

Given Input numbers are 68, 509, 500, 460

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 68, 509, 500, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 509, 500, 460 is 1.

Therefore, GCD of numbers 68, 509, 500, 460 is 1

Given Input Data is 68, 509, 500, 460

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 509 is 509

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(68, 509) = 34612

GCD(68, 509) = ( 68 x 509 ) / 34612

GCD(68, 509) = 34612 / 34612

GCD(68, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 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 68, 509, 500, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 232, 423, 731
• GCD of 22, 901, 359, 842
• GCD of 32, 307, 503, 336
• GCD of 42, 799, 712, 975
• GCD of 87, 411, 544, 527

1. What is the GCD of 68, 509, 500, 460?

GCD of 68, 509, 500, 460 is 1

2. Where do I get the detailed procedure to find GCD of 68, 509, 500, 460?

You can find a detailed procedure to find GCD of 68, 509, 500, 460 on our page.

3. How to find GCD of 68, 509, 500, 460 on a calculator?

You can find the GCD of 68, 509, 500, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.