GCD of 54, 279, 454, 399 Calculator

Given Input numbers are 54, 279, 454, 399

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

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 54, 279, 454, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 279, 454, 399 is 1.

Therefore, GCD of numbers 54, 279, 454, 399 is 1

Given Input Data is 54, 279, 454, 399

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 454 is 2 x 227

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(54, 279) = 1674

GCD(54, 279) = ( 54 x 279 ) / 1674

GCD(54, 279) = 15066 / 1674

GCD(54, 279) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 454

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

LCM(9, 454) = 4086

GCD(9, 454) = ( 9 x 454 ) / 4086

GCD(9, 454) = 4086 / 4086

GCD(9, 454) = 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 54, 279, 454, 399 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 488, 698, 571
• GCD of 85, 194, 557, 397
• GCD of 68, 465, 901, 227
• GCD of 33, 893, 527, 455
• GCD of 14, 967, 798, 561

1. What is the GCD of 54, 279, 454, 399?

GCD of 54, 279, 454, 399 is 1

2. Where do I get the detailed procedure to find GCD of 54, 279, 454, 399?

You can find a detailed procedure to find GCD of 54, 279, 454, 399 on our page.

3. How to find GCD of 54, 279, 454, 399 on a calculator?

You can find the GCD of 54, 279, 454, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.