GCD of 450, 351, 413, 549 Calculator

Given Input numbers are 450, 351, 413, 549

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 450, 351, 413, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 351, 413, 549 is 1.

Therefore, GCD of numbers 450, 351, 413, 549 is 1

Given Input Data is 450, 351, 413, 549

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 413 is 7 x 59

Prime Factorization of 549 is 3 x 3 x 61

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(450, 351) = 17550

GCD(450, 351) = ( 450 x 351 ) / 17550

GCD(450, 351) = 157950 / 17550

GCD(450, 351) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 413

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

LCM(9, 413) = 3717

GCD(9, 413) = ( 9 x 413 ) / 3717

GCD(9, 413) = 3717 / 3717

GCD(9, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

GCD of 450, 351, 413, 549 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 978, 340, 930
• GCD of 179, 480, 763, 763
• GCD of 779, 476, 959, 950
• GCD of 291, 928, 984, 279
• GCD of 165, 667, 914, 935

1. What is the GCD of 450, 351, 413, 549?

GCD of 450, 351, 413, 549 is 1

2. Where do I get the detailed procedure to find GCD of 450, 351, 413, 549?

You can find a detailed procedure to find GCD of 450, 351, 413, 549 on our page.

3. How to find GCD of 450, 351, 413, 549 on a calculator?

You can find the GCD of 450, 351, 413, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.