GCD of 180, 717, 966, 584 Calculator

Given Input numbers are 180, 717, 966, 584

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 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 180, 717, 966, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 717, 966, 584 is 1.

Therefore, GCD of numbers 180, 717, 966, 584 is 1

Given Input Data is 180, 717, 966, 584

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 717 is 3 x 239

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 584 is 2 x 2 x 2 x 73

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, 717) = 43020

GCD(180, 717) = ( 180 x 717 ) / 43020

GCD(180, 717) = 129060 / 43020

GCD(180, 717) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 966

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

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

GCD(3, 966) = 2898 / 966

GCD(3, 966) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 584

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

LCM(3, 584) = 1752

GCD(3, 584) = ( 3 x 584 ) / 1752

GCD(3, 584) = 1752 / 1752

GCD(3, 584) = 1

GCD of 180, 717, 966, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 327, 587, 788
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• GCD of 447, 475, 962, 721

1. What is the GCD of 180, 717, 966, 584?

GCD of 180, 717, 966, 584 is 1

2. Where do I get the detailed procedure to find GCD of 180, 717, 966, 584?

You can find a detailed procedure to find GCD of 180, 717, 966, 584 on our page.

3. How to find GCD of 180, 717, 966, 584 on a calculator?

You can find the GCD of 180, 717, 966, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.