GCD of 540, 558, 598, 791 Calculator

Given Input numbers are 540, 558, 598, 791

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 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 540, 558, 598, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 558, 598, 791 is 1.

Therefore, GCD of numbers 540, 558, 598, 791 is 1

Given Input Data is 540, 558, 598, 791

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 558 is 2 x 3 x 3 x 31

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 791 is 7 x 113

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, 558) = 16740

GCD(540, 558) = ( 540 x 558 ) / 16740

GCD(540, 558) = 301320 / 16740

GCD(540, 558) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 598

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

LCM(18, 598) = 5382

GCD(18, 598) = ( 18 x 598 ) / 5382

GCD(18, 598) = 10764 / 5382

GCD(18, 598) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 791

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

LCM(2, 791) = 1582

GCD(2, 791) = ( 2 x 791 ) / 1582

GCD(2, 791) = 1582 / 1582

GCD(2, 791) = 1

GCD of 540, 558, 598, 791 is 1

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1. What is the GCD of 540, 558, 598, 791?

GCD of 540, 558, 598, 791 is 1

2. Where do I get the detailed procedure to find GCD of 540, 558, 598, 791?

You can find a detailed procedure to find GCD of 540, 558, 598, 791 on our page.

3. How to find GCD of 540, 558, 598, 791 on a calculator?

You can find the GCD of 540, 558, 598, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.