GCD of 368, 623, 47, 257 Calculator

Given Input numbers are 368, 623, 47, 257

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

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 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 368, 623, 47, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 623, 47, 257 is 1.

Therefore, GCD of numbers 368, 623, 47, 257 is 1

Given Input Data is 368, 623, 47, 257

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

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

Prime Factorization of 623 is 7 x 89

Prime Factorization of 47 is 47

Prime Factorization of 257 is 257

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(368, 623) = 229264

GCD(368, 623) = ( 368 x 623 ) / 229264

GCD(368, 623) = 229264 / 229264

GCD(368, 623) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 368, 623, 47, 257 is 1

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1. What is the GCD of 368, 623, 47, 257?

GCD of 368, 623, 47, 257 is 1

2. Where do I get the detailed procedure to find GCD of 368, 623, 47, 257?

You can find a detailed procedure to find GCD of 368, 623, 47, 257 on our page.

3. How to find GCD of 368, 623, 47, 257 on a calculator?

You can find the GCD of 368, 623, 47, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.