GCD of 540, 271, 96, 281 Calculator

Given Input numbers are 540, 271, 96, 281

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 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Greatest Common Divisior

We found the divisors of 540, 271, 96, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 271, 96, 281 is 1.

Therefore, GCD of numbers 540, 271, 96, 281 is 1

Given Input Data is 540, 271, 96, 281

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 271 is 271

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 281 is 281

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, 271) = 146340

GCD(540, 271) = ( 540 x 271 ) / 146340

GCD(540, 271) = 146340 / 146340

GCD(540, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 281

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

LCM(1, 281) = 281

GCD(1, 281) = ( 1 x 281 ) / 281

GCD(1, 281) = 281 / 281

GCD(1, 281) = 1

GCD of 540, 271, 96, 281 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 308, 83, 981
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• GCD of 233, 281, 86, 854
• GCD of 866, 468, 72, 375

1. What is the GCD of 540, 271, 96, 281?

GCD of 540, 271, 96, 281 is 1

2. Where do I get the detailed procedure to find GCD of 540, 271, 96, 281?

You can find a detailed procedure to find GCD of 540, 271, 96, 281 on our page.

3. How to find GCD of 540, 271, 96, 281 on a calculator?

You can find the GCD of 540, 271, 96, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.