GCD of 540, 972, 50, 231 Calculator

Given Input numbers are 540, 972, 50, 231

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 540, 972, 50, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 972, 50, 231 is 1.

Therefore, GCD of numbers 540, 972, 50, 231 is 1

Given Input Data is 540, 972, 50, 231

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 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 231 is 3 x 7 x 11

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, 972) = 4860

GCD(540, 972) = ( 540 x 972 ) / 4860

GCD(540, 972) = 524880 / 4860

GCD(540, 972) = 108

Step2:

Here we consider the GCD from the above i.e. 108 as first number and the next as 50

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

LCM(108, 50) = 2700

GCD(108, 50) = ( 108 x 50 ) / 2700

GCD(108, 50) = 5400 / 2700

GCD(108, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 231

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

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

GCD(2, 231) = 462 / 462

GCD(2, 231) = 1

GCD of 540, 972, 50, 231 is 1

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1. What is the GCD of 540, 972, 50, 231?

GCD of 540, 972, 50, 231 is 1

2. Where do I get the detailed procedure to find GCD of 540, 972, 50, 231?

You can find a detailed procedure to find GCD of 540, 972, 50, 231 on our page.

3. How to find GCD of 540, 972, 50, 231 on a calculator?

You can find the GCD of 540, 972, 50, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.