GCD of 363, 540, 595, 564 Calculator

Given Input numbers are 363, 540, 595, 564

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 363, 540, 595, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 540, 595, 564 is 1.

Therefore, GCD of numbers 363, 540, 595, 564 is 1

Given Input Data is 363, 540, 595, 564

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(363, 540) = 65340

GCD(363, 540) = ( 363 x 540 ) / 65340

GCD(363, 540) = 196020 / 65340

GCD(363, 540) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 595

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

LCM(3, 595) = 1785

GCD(3, 595) = ( 3 x 595 ) / 1785

GCD(3, 595) = 1785 / 1785

GCD(3, 595) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 363, 540, 595, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 141, 599, 131
• GCD of 615, 986, 995, 210
• GCD of 205, 363, 831, 197
• GCD of 997, 164, 960, 584
• GCD of 752, 803, 284, 664

1. What is the GCD of 363, 540, 595, 564?

GCD of 363, 540, 595, 564 is 1

2. Where do I get the detailed procedure to find GCD of 363, 540, 595, 564?

You can find a detailed procedure to find GCD of 363, 540, 595, 564 on our page.

3. How to find GCD of 363, 540, 595, 564 on a calculator?

You can find the GCD of 363, 540, 595, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.