GCD of 320, 321, 23, 740 Calculator

Given Input numbers are 320, 321, 23, 740

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 320, 321, 23, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 321, 23, 740 is 1.

Therefore, GCD of numbers 320, 321, 23, 740 is 1

Given Input Data is 320, 321, 23, 740

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 321 is 3 x 107

Prime Factorization of 23 is 23

Prime Factorization of 740 is 2 x 2 x 5 x 37

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, 321) = 102720

GCD(320, 321) = ( 320 x 321 ) / 102720

GCD(320, 321) = 102720 / 102720

GCD(320, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 320, 321, 23, 740 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 964, 19, 760
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• GCD of 152, 616, 82, 615

1. What is the GCD of 320, 321, 23, 740?

GCD of 320, 321, 23, 740 is 1

2. Where do I get the detailed procedure to find GCD of 320, 321, 23, 740?

You can find a detailed procedure to find GCD of 320, 321, 23, 740 on our page.

3. How to find GCD of 320, 321, 23, 740 on a calculator?

You can find the GCD of 320, 321, 23, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.