GCD of 100, 323, 460, 285 Calculator

Given Input numbers are 100, 323, 460, 285

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 100, 323, 460, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 323, 460, 285 is 1.

Therefore, GCD of numbers 100, 323, 460, 285 is 1

Given Input Data is 100, 323, 460, 285

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 323 is 17 x 19

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

Prime Factorization of 285 is 3 x 5 x 19

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(100, 323) = 32300

GCD(100, 323) = ( 100 x 323 ) / 32300

GCD(100, 323) = 32300 / 32300

GCD(100, 323) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

GCD of 100, 323, 460, 285 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 316, 193, 563
• GCD of 994, 218, 507, 820
• GCD of 361, 588, 691, 269
• GCD of 242, 876, 997, 817
• GCD of 768, 753, 827, 833

1. What is the GCD of 100, 323, 460, 285?

GCD of 100, 323, 460, 285 is 1

2. Where do I get the detailed procedure to find GCD of 100, 323, 460, 285?

You can find a detailed procedure to find GCD of 100, 323, 460, 285 on our page.

3. How to find GCD of 100, 323, 460, 285 on a calculator?

You can find the GCD of 100, 323, 460, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.