GCD of 591, 261, 65, 542 Calculator

Given Input numbers are 591, 261, 65, 542

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

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 591, 261, 65, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 261, 65, 542 is 1.

Therefore, GCD of numbers 591, 261, 65, 542 is 1

Given Input Data is 591, 261, 65, 542

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

Prime Factorization of 591 is 3 x 197

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 65 is 5 x 13

Prime Factorization of 542 is 2 x 271

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(591, 261) = 51417

GCD(591, 261) = ( 591 x 261 ) / 51417

GCD(591, 261) = 154251 / 51417

GCD(591, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 65

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

LCM(3, 65) = 195

GCD(3, 65) = ( 3 x 65 ) / 195

GCD(3, 65) = 195 / 195

GCD(3, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 591, 261, 65, 542 is 1

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1. What is the GCD of 591, 261, 65, 542?

GCD of 591, 261, 65, 542 is 1

2. Where do I get the detailed procedure to find GCD of 591, 261, 65, 542?

You can find a detailed procedure to find GCD of 591, 261, 65, 542 on our page.

3. How to find GCD of 591, 261, 65, 542 on a calculator?

You can find the GCD of 591, 261, 65, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.