GCD of 320, 523, 721, 366 Calculator

Given Input numbers are 320, 523, 721, 366

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 320, 523, 721, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 523, 721, 366 is 1.

Therefore, GCD of numbers 320, 523, 721, 366 is 1

Given Input Data is 320, 523, 721, 366

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 523 is 523

Prime Factorization of 721 is 7 x 103

Prime Factorization of 366 is 2 x 3 x 61

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(320, 523) = 167360

GCD(320, 523) = ( 320 x 523 ) / 167360

GCD(320, 523) = 167360 / 167360

GCD(320, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

GCD of 320, 523, 721, 366 is 1

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1. What is the GCD of 320, 523, 721, 366?

GCD of 320, 523, 721, 366 is 1

2. Where do I get the detailed procedure to find GCD of 320, 523, 721, 366?

You can find a detailed procedure to find GCD of 320, 523, 721, 366 on our page.

3. How to find GCD of 320, 523, 721, 366 on a calculator?

You can find the GCD of 320, 523, 721, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.