GCD of 349, 405, 80, 399 Calculator

Given Input numbers are 349, 405, 80, 399

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

Divisors of 349

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

1, 349

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 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 349, 405, 80, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 405, 80, 399 is 1.

Therefore, GCD of numbers 349, 405, 80, 399 is 1

Given Input Data is 349, 405, 80, 399

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

Prime Factorization of 349 is 349

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 399 is 3 x 7 x 19

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(349, 405) = 141345

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

GCD(349, 405) = 141345 / 141345

GCD(349, 405) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

GCD of 349, 405, 80, 399 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 532, 71, 577
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• GCD of 582, 207, 74, 354
• GCD of 722, 562, 18, 959
• GCD of 311, 374, 61, 518

1. What is the GCD of 349, 405, 80, 399?

GCD of 349, 405, 80, 399 is 1

2. Where do I get the detailed procedure to find GCD of 349, 405, 80, 399?

You can find a detailed procedure to find GCD of 349, 405, 80, 399 on our page.

3. How to find GCD of 349, 405, 80, 399 on a calculator?

You can find the GCD of 349, 405, 80, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.