GCD of 304, 169, 22, 723 Calculator

Given Input numbers are 304, 169, 22, 723

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 304, 169, 22, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 169, 22, 723 is 1.

Therefore, GCD of numbers 304, 169, 22, 723 is 1

Given Input Data is 304, 169, 22, 723

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 169 is 13 x 13

Prime Factorization of 22 is 2 x 11

Prime Factorization of 723 is 3 x 241

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(304, 169) = 51376

GCD(304, 169) = ( 304 x 169 ) / 51376

GCD(304, 169) = 51376 / 51376

GCD(304, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 304, 169, 22, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 492, 18, 697
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• GCD of 318, 846, 13, 188
• GCD of 538, 699, 42, 775
• GCD of 562, 335, 85, 424

1. What is the GCD of 304, 169, 22, 723?

GCD of 304, 169, 22, 723 is 1

2. Where do I get the detailed procedure to find GCD of 304, 169, 22, 723?

You can find a detailed procedure to find GCD of 304, 169, 22, 723 on our page.

3. How to find GCD of 304, 169, 22, 723 on a calculator?

You can find the GCD of 304, 169, 22, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.