GCD of 271, 362, 258, 393 Calculator

Given Input numbers are 271, 362, 258, 393

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

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 271, 362, 258, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 362, 258, 393 is 1.

Therefore, GCD of numbers 271, 362, 258, 393 is 1

Given Input Data is 271, 362, 258, 393

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

Prime Factorization of 271 is 271

Prime Factorization of 362 is 2 x 181

Prime Factorization of 258 is 2 x 3 x 43

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(271, 362) = 98102

GCD(271, 362) = ( 271 x 362 ) / 98102

GCD(271, 362) = 98102 / 98102

GCD(271, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 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 271, 362, 258, 393 is 1

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1. What is the GCD of 271, 362, 258, 393?

GCD of 271, 362, 258, 393 is 1

2. Where do I get the detailed procedure to find GCD of 271, 362, 258, 393?

You can find a detailed procedure to find GCD of 271, 362, 258, 393 on our page.

3. How to find GCD of 271, 362, 258, 393 on a calculator?

You can find the GCD of 271, 362, 258, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.