GCD of 406, 508, 429, 284 Calculator

Given Input numbers are 406, 508, 429, 284

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 406, 508, 429, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 508, 429, 284 is 1.

Therefore, GCD of numbers 406, 508, 429, 284 is 1

Given Input Data is 406, 508, 429, 284

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 284 is 2 x 2 x 71

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(406, 508) = 103124

GCD(406, 508) = ( 406 x 508 ) / 103124

GCD(406, 508) = 206248 / 103124

GCD(406, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 429

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

LCM(2, 429) = 858

GCD(2, 429) = ( 2 x 429 ) / 858

GCD(2, 429) = 858 / 858

GCD(2, 429) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 406, 508, 429, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 876, 631, 182
• GCD of 856, 293, 395, 790
• GCD of 181, 326, 930, 475
• GCD of 235, 715, 429, 931
• GCD of 227, 655, 398, 383

1. What is the GCD of 406, 508, 429, 284?

GCD of 406, 508, 429, 284 is 1

2. Where do I get the detailed procedure to find GCD of 406, 508, 429, 284?

You can find a detailed procedure to find GCD of 406, 508, 429, 284 on our page.

3. How to find GCD of 406, 508, 429, 284 on a calculator?

You can find the GCD of 406, 508, 429, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.