GCD of 923, 272, 209, 453 Calculator

Given Input numbers are 923, 272, 209, 453

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 923, 272, 209, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 272, 209, 453 is 1.

Therefore, GCD of numbers 923, 272, 209, 453 is 1

Given Input Data is 923, 272, 209, 453

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 209 is 11 x 19

Prime Factorization of 453 is 3 x 151

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, 272) = 251056

GCD(923, 272) = ( 923 x 272 ) / 251056

GCD(923, 272) = 251056 / 251056

GCD(923, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 923, 272, 209, 453 is 1

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1. What is the GCD of 923, 272, 209, 453?

GCD of 923, 272, 209, 453 is 1

2. Where do I get the detailed procedure to find GCD of 923, 272, 209, 453?

You can find a detailed procedure to find GCD of 923, 272, 209, 453 on our page.

3. How to find GCD of 923, 272, 209, 453 on a calculator?

You can find the GCD of 923, 272, 209, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.