GCD of 984, 162, 283, 730 Calculator

Given Input numbers are 984, 162, 283, 730

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 984, 162, 283, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 162, 283, 730 is 1.

Therefore, GCD of numbers 984, 162, 283, 730 is 1

Given Input Data is 984, 162, 283, 730

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 283 is 283

Prime Factorization of 730 is 2 x 5 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(984, 162) = 26568

GCD(984, 162) = ( 984 x 162 ) / 26568

GCD(984, 162) = 159408 / 26568

GCD(984, 162) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 283

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

LCM(6, 283) = 1698

GCD(6, 283) = ( 6 x 283 ) / 1698

GCD(6, 283) = 1698 / 1698

GCD(6, 283) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 984, 162, 283, 730 is 1

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1. What is the GCD of 984, 162, 283, 730?

GCD of 984, 162, 283, 730 is 1

2. Where do I get the detailed procedure to find GCD of 984, 162, 283, 730?

You can find a detailed procedure to find GCD of 984, 162, 283, 730 on our page.

3. How to find GCD of 984, 162, 283, 730 on a calculator?

You can find the GCD of 984, 162, 283, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.