GCD of 540, 589, 98, 393 Calculator

Given Input numbers are 540, 589, 98, 393

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 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 540, 589, 98, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 589, 98, 393 is 1.

Therefore, GCD of numbers 540, 589, 98, 393 is 1

Given Input Data is 540, 589, 98, 393

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 589 is 19 x 31

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 393 is 3 x 131

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, 589) = 318060

GCD(540, 589) = ( 540 x 589 ) / 318060

GCD(540, 589) = 318060 / 318060

GCD(540, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

GCD of 540, 589, 98, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 393, 10, 653
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• GCD of 720, 602, 61, 120
• GCD of 777, 133, 14, 709
• GCD of 533, 558, 62, 218

1. What is the GCD of 540, 589, 98, 393?

GCD of 540, 589, 98, 393 is 1

2. Where do I get the detailed procedure to find GCD of 540, 589, 98, 393?

You can find a detailed procedure to find GCD of 540, 589, 98, 393 on our page.

3. How to find GCD of 540, 589, 98, 393 on a calculator?

You can find the GCD of 540, 589, 98, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.