GCD of 927, 231, 661, 540 Calculator

Given Input numbers are 927, 231, 661, 540

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

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 231

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

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

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

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

Greatest Common Divisior

We found the divisors of 927, 231, 661, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 231, 661, 540 is 1.

Therefore, GCD of numbers 927, 231, 661, 540 is 1

Given Input Data is 927, 231, 661, 540

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

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 661 is 661

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

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(927, 231) = 71379

GCD(927, 231) = ( 927 x 231 ) / 71379

GCD(927, 231) = 214137 / 71379

GCD(927, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 661

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

LCM(3, 661) = 1983

GCD(3, 661) = ( 3 x 661 ) / 1983

GCD(3, 661) = 1983 / 1983

GCD(3, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 927, 231, 661, 540 is 1

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1. What is the GCD of 927, 231, 661, 540?

GCD of 927, 231, 661, 540 is 1

2. Where do I get the detailed procedure to find GCD of 927, 231, 661, 540?

You can find a detailed procedure to find GCD of 927, 231, 661, 540 on our page.

3. How to find GCD of 927, 231, 661, 540 on a calculator?

You can find the GCD of 927, 231, 661, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.