GCD of 180, 792, 640, 327 Calculator

Given Input numbers are 180, 792, 640, 327

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 327

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

1, 3, 109, 327

Greatest Common Divisior

We found the divisors of 180, 792, 640, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 792, 640, 327 is 1.

Therefore, GCD of numbers 180, 792, 640, 327 is 1

Given Input Data is 180, 792, 640, 327

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 327 is 3 x 109

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(180, 792) = 3960

GCD(180, 792) = ( 180 x 792 ) / 3960

GCD(180, 792) = 142560 / 3960

GCD(180, 792) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 640

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

LCM(36, 640) = 5760

GCD(36, 640) = ( 36 x 640 ) / 5760

GCD(36, 640) = 23040 / 5760

GCD(36, 640) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 327

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

LCM(4, 327) = 1308

GCD(4, 327) = ( 4 x 327 ) / 1308

GCD(4, 327) = 1308 / 1308

GCD(4, 327) = 1

GCD of 180, 792, 640, 327 is 1

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1. What is the GCD of 180, 792, 640, 327?

GCD of 180, 792, 640, 327 is 1

2. Where do I get the detailed procedure to find GCD of 180, 792, 640, 327?

You can find a detailed procedure to find GCD of 180, 792, 640, 327 on our page.

3. How to find GCD of 180, 792, 640, 327 on a calculator?

You can find the GCD of 180, 792, 640, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.