GCD of 223, 699, 311, 468 Calculator

Given Input numbers are 223, 699, 311, 468

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

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 699

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

1, 3, 233, 699

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 223, 699, 311, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 223, 699, 311, 468 is 1.

Therefore, GCD of numbers 223, 699, 311, 468 is 1

Given Input Data is 223, 699, 311, 468

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

Prime Factorization of 223 is 223

Prime Factorization of 699 is 3 x 233

Prime Factorization of 311 is 311

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(223, 699) = 155877

GCD(223, 699) = ( 223 x 699 ) / 155877

GCD(223, 699) = 155877 / 155877

GCD(223, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 223, 699, 311, 468 is 1

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1. What is the GCD of 223, 699, 311, 468?

GCD of 223, 699, 311, 468 is 1

2. Where do I get the detailed procedure to find GCD of 223, 699, 311, 468?

You can find a detailed procedure to find GCD of 223, 699, 311, 468 on our page.

3. How to find GCD of 223, 699, 311, 468 on a calculator?

You can find the GCD of 223, 699, 311, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.