GCD of 323, 738, 807, 406 Calculator

Given Input numbers are 323, 738, 807, 406

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

Divisors of 323

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

1, 17, 19, 323

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 406

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

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

Greatest Common Divisior

We found the divisors of 323, 738, 807, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 738, 807, 406 is 1.

Therefore, GCD of numbers 323, 738, 807, 406 is 1

Given Input Data is 323, 738, 807, 406

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 807 is 3 x 269

Prime Factorization of 406 is 2 x 7 x 29

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(323, 738) = 238374

GCD(323, 738) = ( 323 x 738 ) / 238374

GCD(323, 738) = 238374 / 238374

GCD(323, 738) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 323, 738, 807, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 178, 419, 665
• GCD of 814, 907, 652, 124
• GCD of 862, 965, 387, 381
• GCD of 608, 503, 458, 264
• GCD of 722, 218, 794, 570

1. What is the GCD of 323, 738, 807, 406?

GCD of 323, 738, 807, 406 is 1

2. Where do I get the detailed procedure to find GCD of 323, 738, 807, 406?

You can find a detailed procedure to find GCD of 323, 738, 807, 406 on our page.

3. How to find GCD of 323, 738, 807, 406 on a calculator?

You can find the GCD of 323, 738, 807, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.