GCD of 723, 409, 528, 394 Calculator

Given Input numbers are 723, 409, 528, 394

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 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 723, 409, 528, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 409, 528, 394 is 1.

Therefore, GCD of numbers 723, 409, 528, 394 is 1

Given Input Data is 723, 409, 528, 394

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 409 is 409

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 394 is 2 x 197

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, 409) = 295707

GCD(723, 409) = ( 723 x 409 ) / 295707

GCD(723, 409) = 295707 / 295707

GCD(723, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 723, 409, 528, 394 is 1

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1. What is the GCD of 723, 409, 528, 394?

GCD of 723, 409, 528, 394 is 1

2. Where do I get the detailed procedure to find GCD of 723, 409, 528, 394?

You can find a detailed procedure to find GCD of 723, 409, 528, 394 on our page.

3. How to find GCD of 723, 409, 528, 394 on a calculator?

You can find the GCD of 723, 409, 528, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.