GCD of 591, 270, 73, 408 Calculator

Given Input numbers are 591, 270, 73, 408

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 591, 270, 73, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 270, 73, 408 is 1.

Therefore, GCD of numbers 591, 270, 73, 408 is 1

Given Input Data is 591, 270, 73, 408

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

Prime Factorization of 591 is 3 x 197

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 73 is 73

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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, 270) = 53190

GCD(591, 270) = ( 591 x 270 ) / 53190

GCD(591, 270) = 159570 / 53190

GCD(591, 270) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 591, 270, 73, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 401, 31, 585
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• GCD of 628, 932, 12, 316

1. What is the GCD of 591, 270, 73, 408?

GCD of 591, 270, 73, 408 is 1

2. Where do I get the detailed procedure to find GCD of 591, 270, 73, 408?

You can find a detailed procedure to find GCD of 591, 270, 73, 408 on our page.

3. How to find GCD of 591, 270, 73, 408 on a calculator?

You can find the GCD of 591, 270, 73, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.