GCD of 27, 354, 596, 471 Calculator

Given Input numbers are 27, 354, 596, 471

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 27, 354, 596, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 354, 596, 471 is 1.

Therefore, GCD of numbers 27, 354, 596, 471 is 1

Given Input Data is 27, 354, 596, 471

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 471 is 3 x 157

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(27, 354) = 3186

GCD(27, 354) = ( 27 x 354 ) / 3186

GCD(27, 354) = 9558 / 3186

GCD(27, 354) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 596

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

LCM(3, 596) = 1788

GCD(3, 596) = ( 3 x 596 ) / 1788

GCD(3, 596) = 1788 / 1788

GCD(3, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 27, 354, 596, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 998, 735, 465
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• GCD of 98, 688, 459, 683
• GCD of 37, 424, 103, 123
• GCD of 21, 864, 524, 864

1. What is the GCD of 27, 354, 596, 471?

GCD of 27, 354, 596, 471 is 1

2. Where do I get the detailed procedure to find GCD of 27, 354, 596, 471?

You can find a detailed procedure to find GCD of 27, 354, 596, 471 on our page.

3. How to find GCD of 27, 354, 596, 471 on a calculator?

You can find the GCD of 27, 354, 596, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.