GCD of 360, 204, 999, 541 Calculator

Given Input numbers are 360, 204, 999, 541

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Greatest Common Divisior

We found the divisors of 360, 204, 999, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 204, 999, 541 is 1.

Therefore, GCD of numbers 360, 204, 999, 541 is 1

Given Input Data is 360, 204, 999, 541

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 541 is 541

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(360, 204) = 6120

GCD(360, 204) = ( 360 x 204 ) / 6120

GCD(360, 204) = 73440 / 6120

GCD(360, 204) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 999

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

LCM(12, 999) = 3996

GCD(12, 999) = ( 12 x 999 ) / 3996

GCD(12, 999) = 11988 / 3996

GCD(12, 999) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 541

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

LCM(3, 541) = 1623

GCD(3, 541) = ( 3 x 541 ) / 1623

GCD(3, 541) = 1623 / 1623

GCD(3, 541) = 1

GCD of 360, 204, 999, 541 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 543, 106, 354
• GCD of 537, 578, 186, 827
• GCD of 632, 918, 355, 499
• GCD of 855, 711, 818, 995
• GCD of 349, 715, 969, 839

1. What is the GCD of 360, 204, 999, 541?

GCD of 360, 204, 999, 541 is 1

2. Where do I get the detailed procedure to find GCD of 360, 204, 999, 541?

You can find a detailed procedure to find GCD of 360, 204, 999, 541 on our page.

3. How to find GCD of 360, 204, 999, 541 on a calculator?

You can find the GCD of 360, 204, 999, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.