GCD of 242, 699, 923, 408 Calculator

Given Input numbers are 242, 699, 923, 408

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 923

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

1, 13, 71, 923

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 242, 699, 923, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 699, 923, 408 is 1.

Therefore, GCD of numbers 242, 699, 923, 408 is 1

Given Input Data is 242, 699, 923, 408

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 699 is 3 x 233

Prime Factorization of 923 is 13 x 71

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(242, 699) = 169158

GCD(242, 699) = ( 242 x 699 ) / 169158

GCD(242, 699) = 169158 / 169158

GCD(242, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 242, 699, 923, 408 is 1

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1. What is the GCD of 242, 699, 923, 408?

GCD of 242, 699, 923, 408 is 1

2. Where do I get the detailed procedure to find GCD of 242, 699, 923, 408?

You can find a detailed procedure to find GCD of 242, 699, 923, 408 on our page.

3. How to find GCD of 242, 699, 923, 408 on a calculator?

You can find the GCD of 242, 699, 923, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.