GCD of 360, 537, 412, 327 Calculator

Given Input numbers are 360, 537, 412, 327

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

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 360, 537, 412, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 537, 412, 327 is 1.

Therefore, GCD of numbers 360, 537, 412, 327 is 1

Given Input Data is 360, 537, 412, 327

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 537 is 3 x 179

Prime Factorization of 412 is 2 x 2 x 103

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(360, 537) = 64440

GCD(360, 537) = ( 360 x 537 ) / 64440

GCD(360, 537) = 193320 / 64440

GCD(360, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 412

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

LCM(3, 412) = 1236

GCD(3, 412) = ( 3 x 412 ) / 1236

GCD(3, 412) = 1236 / 1236

GCD(3, 412) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 327

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

LCM(1, 327) = 327

GCD(1, 327) = ( 1 x 327 ) / 327

GCD(1, 327) = 327 / 327

GCD(1, 327) = 1

GCD of 360, 537, 412, 327 is 1

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1. What is the GCD of 360, 537, 412, 327?

GCD of 360, 537, 412, 327 is 1

2. Where do I get the detailed procedure to find GCD of 360, 537, 412, 327?

You can find a detailed procedure to find GCD of 360, 537, 412, 327 on our page.

3. How to find GCD of 360, 537, 412, 327 on a calculator?

You can find the GCD of 360, 537, 412, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.