GCD of 402, 728, 409, 301 Calculator

Given Input numbers are 402, 728, 409, 301

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 402, 728, 409, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 728, 409, 301 is 1.

Therefore, GCD of numbers 402, 728, 409, 301 is 1

Given Input Data is 402, 728, 409, 301

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 409 is 409

Prime Factorization of 301 is 7 x 43

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(402, 728) = 146328

GCD(402, 728) = ( 402 x 728 ) / 146328

GCD(402, 728) = 292656 / 146328

GCD(402, 728) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 409

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

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

GCD(2, 409) = 818 / 818

GCD(2, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 402, 728, 409, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 698, 889, 613
• GCD of 232, 782, 643, 270
• GCD of 781, 876, 990, 143
• GCD of 143, 250, 298, 287
• GCD of 297, 771, 162, 783

1. What is the GCD of 402, 728, 409, 301?

GCD of 402, 728, 409, 301 is 1

2. Where do I get the detailed procedure to find GCD of 402, 728, 409, 301?

You can find a detailed procedure to find GCD of 402, 728, 409, 301 on our page.

3. How to find GCD of 402, 728, 409, 301 on a calculator?

You can find the GCD of 402, 728, 409, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.