GCD of 923, 377, 408 Calculator

Given Input numbers are 923, 377, 408

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

Divisors of 923

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

1, 13, 71, 923

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 923, 377, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 377, 408 is 1.

Therefore, GCD of numbers 923, 377, 408 is 1

Given Input Data is 923, 377, 408

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 377 is 13 x 29

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(923, 377) = 26767

GCD(923, 377) = ( 923 x 377 ) / 26767

GCD(923, 377) = 347971 / 26767

GCD(923, 377) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 408

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

LCM(13, 408) = 5304

GCD(13, 408) = ( 13 x 408 ) / 5304

GCD(13, 408) = 5304 / 5304

GCD(13, 408) = 1

GCD of 923, 377, 408 is 1

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1. What is the GCD of 923, 377, 408?

GCD of 923, 377, 408 is 1

2. Where do I get the detailed procedure to find GCD of 923, 377, 408?

You can find a detailed procedure to find GCD of 923, 377, 408 on our page.

3. How to find GCD of 923, 377, 408 on a calculator?

You can find the GCD of 923, 377, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.