GCD of 21, 484, 399, 542 Calculator

Given Input numbers are 21, 484, 399, 542

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 399

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

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 21, 484, 399, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 484, 399, 542 is 1.

Therefore, GCD of numbers 21, 484, 399, 542 is 1

Given Input Data is 21, 484, 399, 542

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 542 is 2 x 271

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(21, 484) = 10164

GCD(21, 484) = ( 21 x 484 ) / 10164

GCD(21, 484) = 10164 / 10164

GCD(21, 484) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 21, 484, 399, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 847, 668, 784
• GCD of 27, 959, 256, 636
• GCD of 81, 911, 337, 748
• GCD of 48, 750, 794, 123
• GCD of 57, 597, 768, 161

1. What is the GCD of 21, 484, 399, 542?

GCD of 21, 484, 399, 542 is 1

2. Where do I get the detailed procedure to find GCD of 21, 484, 399, 542?

You can find a detailed procedure to find GCD of 21, 484, 399, 542 on our page.

3. How to find GCD of 21, 484, 399, 542 on a calculator?

You can find the GCD of 21, 484, 399, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.