GCD of 54, 141, 363, 190 Calculator

Given Input numbers are 54, 141, 363, 190

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 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Greatest Common Divisior

We found the divisors of 54, 141, 363, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 141, 363, 190 is 1.

Therefore, GCD of numbers 54, 141, 363, 190 is 1

Given Input Data is 54, 141, 363, 190

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 141 is 3 x 47

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 190 is 2 x 5 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, 141) = 2538

GCD(54, 141) = ( 54 x 141 ) / 2538

GCD(54, 141) = 7614 / 2538

GCD(54, 141) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 363

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

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

GCD(3, 363) = 1089 / 363

GCD(3, 363) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 190

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

LCM(3, 190) = 570

GCD(3, 190) = ( 3 x 190 ) / 570

GCD(3, 190) = 570 / 570

GCD(3, 190) = 1

GCD of 54, 141, 363, 190 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 597, 142, 793
• GCD of 37, 465, 566, 612
• GCD of 63, 396, 548, 392
• GCD of 44, 859, 730, 725
• GCD of 58, 173, 635, 701

1. What is the GCD of 54, 141, 363, 190?

GCD of 54, 141, 363, 190 is 1

2. Where do I get the detailed procedure to find GCD of 54, 141, 363, 190?

You can find a detailed procedure to find GCD of 54, 141, 363, 190 on our page.

3. How to find GCD of 54, 141, 363, 190 on a calculator?

You can find the GCD of 54, 141, 363, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.