GCD of 406, 959, 497, 321 Calculator

Given Input numbers are 406, 959, 497, 321

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 321

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

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 406, 959, 497, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 959, 497, 321 is 1.

Therefore, GCD of numbers 406, 959, 497, 321 is 1

Given Input Data is 406, 959, 497, 321

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 959 is 7 x 137

Prime Factorization of 497 is 7 x 71

Prime Factorization of 321 is 3 x 107

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, 959) = 55622

GCD(406, 959) = ( 406 x 959 ) / 55622

GCD(406, 959) = 389354 / 55622

GCD(406, 959) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 497

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

LCM(7, 497) = 497

GCD(7, 497) = ( 7 x 497 ) / 497

GCD(7, 497) = 3479 / 497

GCD(7, 497) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 321

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

LCM(7, 321) = 2247

GCD(7, 321) = ( 7 x 321 ) / 2247

GCD(7, 321) = 2247 / 2247

GCD(7, 321) = 1

GCD of 406, 959, 497, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 529, 447, 733
• GCD of 136, 568, 506, 749
• GCD of 643, 188, 590, 584
• GCD of 201, 263, 463, 675
• GCD of 178, 497, 316, 278

1. What is the GCD of 406, 959, 497, 321?

GCD of 406, 959, 497, 321 is 1

2. Where do I get the detailed procedure to find GCD of 406, 959, 497, 321?

You can find a detailed procedure to find GCD of 406, 959, 497, 321 on our page.

3. How to find GCD of 406, 959, 497, 321 on a calculator?

You can find the GCD of 406, 959, 497, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.