GCD of 388, 272, 923, 458 Calculator

Given Input numbers are 388, 272, 923, 458

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 388, 272, 923, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 272, 923, 458 is 1.

Therefore, GCD of numbers 388, 272, 923, 458 is 1

Given Input Data is 388, 272, 923, 458

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 923 is 13 x 71

Prime Factorization of 458 is 2 x 229

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(388, 272) = 26384

GCD(388, 272) = ( 388 x 272 ) / 26384

GCD(388, 272) = 105536 / 26384

GCD(388, 272) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 923

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

LCM(4, 923) = 3692

GCD(4, 923) = ( 4 x 923 ) / 3692

GCD(4, 923) = 3692 / 3692

GCD(4, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 388, 272, 923, 458 is 1

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1. What is the GCD of 388, 272, 923, 458?

GCD of 388, 272, 923, 458 is 1

2. Where do I get the detailed procedure to find GCD of 388, 272, 923, 458?

You can find a detailed procedure to find GCD of 388, 272, 923, 458 on our page.

3. How to find GCD of 388, 272, 923, 458 on a calculator?

You can find the GCD of 388, 272, 923, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.