GCD of 405, 349, 732, 800 Calculator

Given Input numbers are 405, 349, 732, 800

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 405, 349, 732, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 349, 732, 800 is 1.

Therefore, GCD of numbers 405, 349, 732, 800 is 1

Given Input Data is 405, 349, 732, 800

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 349 is 349

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(405, 349) = 141345

GCD(405, 349) = ( 405 x 349 ) / 141345

GCD(405, 349) = 141345 / 141345

GCD(405, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 405, 349, 732, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 801, 220, 992
• GCD of 733, 223, 956, 863
• GCD of 966, 634, 801, 729
• GCD of 381, 457, 339, 806
• GCD of 609, 677, 285, 844

1. What is the GCD of 405, 349, 732, 800?

GCD of 405, 349, 732, 800 is 1

2. Where do I get the detailed procedure to find GCD of 405, 349, 732, 800?

You can find a detailed procedure to find GCD of 405, 349, 732, 800 on our page.

3. How to find GCD of 405, 349, 732, 800 on a calculator?

You can find the GCD of 405, 349, 732, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.