GCD of 723, 209, 22, 520 Calculator

Given Input numbers are 723, 209, 22, 520

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

Divisors of 723

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

1, 3, 241, 723

Divisors of 209

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

1, 11, 19, 209

Divisors of 22

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

1, 2, 11, 22

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 723, 209, 22, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 209, 22, 520 is 1.

Therefore, GCD of numbers 723, 209, 22, 520 is 1

Given Input Data is 723, 209, 22, 520

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 209 is 11 x 19

Prime Factorization of 22 is 2 x 11

Prime Factorization of 520 is 2 x 2 x 2 x 5 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(723, 209) = 151107

GCD(723, 209) = ( 723 x 209 ) / 151107

GCD(723, 209) = 151107 / 151107

GCD(723, 209) = 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 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 723, 209, 22, 520 is 1

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• GCD of 220, 650, 55, 764
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1. What is the GCD of 723, 209, 22, 520?

GCD of 723, 209, 22, 520 is 1

2. Where do I get the detailed procedure to find GCD of 723, 209, 22, 520?

You can find a detailed procedure to find GCD of 723, 209, 22, 520 on our page.

3. How to find GCD of 723, 209, 22, 520 on a calculator?

You can find the GCD of 723, 209, 22, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.