GCD of 540, 183, 27, 146 Calculator

Given Input numbers are 540, 183, 27, 146

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

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 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 540, 183, 27, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 183, 27, 146 is 1.

Therefore, GCD of numbers 540, 183, 27, 146 is 1

Given Input Data is 540, 183, 27, 146

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

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 146 is 2 x 73

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(540, 183) = 32940

GCD(540, 183) = ( 540 x 183 ) / 32940

GCD(540, 183) = 98820 / 32940

GCD(540, 183) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 146

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

LCM(3, 146) = 438

GCD(3, 146) = ( 3 x 146 ) / 438

GCD(3, 146) = 438 / 438

GCD(3, 146) = 1

GCD of 540, 183, 27, 146 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 770, 24, 895
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• GCD of 112, 315, 18, 387
• GCD of 250, 417, 61, 319

1. What is the GCD of 540, 183, 27, 146?

GCD of 540, 183, 27, 146 is 1

2. Where do I get the detailed procedure to find GCD of 540, 183, 27, 146?

You can find a detailed procedure to find GCD of 540, 183, 27, 146 on our page.

3. How to find GCD of 540, 183, 27, 146 on a calculator?

You can find the GCD of 540, 183, 27, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.