GCD of 271, 368, 58, 492 Calculator

Given Input numbers are 271, 368, 58, 492

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 271, 368, 58, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 368, 58, 492 is 1.

Therefore, GCD of numbers 271, 368, 58, 492 is 1

Given Input Data is 271, 368, 58, 492

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

Prime Factorization of 271 is 271

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 58 is 2 x 29

Prime Factorization of 492 is 2 x 2 x 3 x 41

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, 368) = 99728

GCD(271, 368) = ( 271 x 368 ) / 99728

GCD(271, 368) = 99728 / 99728

GCD(271, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 271, 368, 58, 492 is 1

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• GCD of 297, 393, 51, 280
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• GCD of 948, 709, 72, 471

1. What is the GCD of 271, 368, 58, 492?

GCD of 271, 368, 58, 492 is 1

2. Where do I get the detailed procedure to find GCD of 271, 368, 58, 492?

You can find a detailed procedure to find GCD of 271, 368, 58, 492 on our page.

3. How to find GCD of 271, 368, 58, 492 on a calculator?

You can find the GCD of 271, 368, 58, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.