GCD of 209, 745, 873, 461 Calculator

Given Input numbers are 209, 745, 873, 461

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

Divisors of 209

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

1, 11, 19, 209

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 209, 745, 873, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 745, 873, 461 is 1.

Therefore, GCD of numbers 209, 745, 873, 461 is 1

Given Input Data is 209, 745, 873, 461

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 745 is 5 x 149

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 461 is 461

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(209, 745) = 155705

GCD(209, 745) = ( 209 x 745 ) / 155705

GCD(209, 745) = 155705 / 155705

GCD(209, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 873

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

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

GCD(1, 873) = 873 / 873

GCD(1, 873) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 209, 745, 873, 461 is 1

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1. What is the GCD of 209, 745, 873, 461?

GCD of 209, 745, 873, 461 is 1

2. Where do I get the detailed procedure to find GCD of 209, 745, 873, 461?

You can find a detailed procedure to find GCD of 209, 745, 873, 461 on our page.

3. How to find GCD of 209, 745, 873, 461 on a calculator?

You can find the GCD of 209, 745, 873, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.