GCD of 210, 273, 164, 723 Calculator

Given Input numbers are 210, 273, 164, 723

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

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 210, 273, 164, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 273, 164, 723 is 1.

Therefore, GCD of numbers 210, 273, 164, 723 is 1

Given Input Data is 210, 273, 164, 723

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 164 is 2 x 2 x 41

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(210, 273) = 2730

GCD(210, 273) = ( 210 x 273 ) / 2730

GCD(210, 273) = 57330 / 2730

GCD(210, 273) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 164

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

LCM(21, 164) = 3444

GCD(21, 164) = ( 21 x 164 ) / 3444

GCD(21, 164) = 3444 / 3444

GCD(21, 164) = 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 210, 273, 164, 723 is 1

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1. What is the GCD of 210, 273, 164, 723?

GCD of 210, 273, 164, 723 is 1

2. Where do I get the detailed procedure to find GCD of 210, 273, 164, 723?

You can find a detailed procedure to find GCD of 210, 273, 164, 723 on our page.

3. How to find GCD of 210, 273, 164, 723 on a calculator?

You can find the GCD of 210, 273, 164, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.