GCD of 31, 428, 293, 540 Calculator

Given Input numbers are 31, 428, 293, 540

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

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 31, 428, 293, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 428, 293, 540 is 1.

Therefore, GCD of numbers 31, 428, 293, 540 is 1

Given Input Data is 31, 428, 293, 540

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

Prime Factorization of 31 is 31

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 293 is 293

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(31, 428) = 13268

GCD(31, 428) = ( 31 x 428 ) / 13268

GCD(31, 428) = 13268 / 13268

GCD(31, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 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 31, 428, 293, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 978, 488, 970
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• GCD of 73, 947, 489, 269
• GCD of 95, 536, 345, 710

1. What is the GCD of 31, 428, 293, 540?

GCD of 31, 428, 293, 540 is 1

2. Where do I get the detailed procedure to find GCD of 31, 428, 293, 540?

You can find a detailed procedure to find GCD of 31, 428, 293, 540 on our page.

3. How to find GCD of 31, 428, 293, 540 on a calculator?

You can find the GCD of 31, 428, 293, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.