GCD of 327, 111, 457, 720 Calculator

Given Input numbers are 327, 111, 457, 720

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 327, 111, 457, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 111, 457, 720 is 1.

Therefore, GCD of numbers 327, 111, 457, 720 is 1

Given Input Data is 327, 111, 457, 720

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 111 is 3 x 37

Prime Factorization of 457 is 457

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(327, 111) = 12099

GCD(327, 111) = ( 327 x 111 ) / 12099

GCD(327, 111) = 36297 / 12099

GCD(327, 111) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 457

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

LCM(3, 457) = 1371

GCD(3, 457) = ( 3 x 457 ) / 1371

GCD(3, 457) = 1371 / 1371

GCD(3, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 327, 111, 457, 720 is 1

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1. What is the GCD of 327, 111, 457, 720?

GCD of 327, 111, 457, 720 is 1

2. Where do I get the detailed procedure to find GCD of 327, 111, 457, 720?

You can find a detailed procedure to find GCD of 327, 111, 457, 720 on our page.

3. How to find GCD of 327, 111, 457, 720 on a calculator?

You can find the GCD of 327, 111, 457, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.