GCD of 32, 984, 659, 730 Calculator

Given Input numbers are 32, 984, 659, 730

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

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 32, 984, 659, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 984, 659, 730 is 1.

Therefore, GCD of numbers 32, 984, 659, 730 is 1

Given Input Data is 32, 984, 659, 730

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 659 is 659

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(32, 984) = 3936

GCD(32, 984) = ( 32 x 984 ) / 3936

GCD(32, 984) = 31488 / 3936

GCD(32, 984) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 659

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

LCM(8, 659) = 5272

GCD(8, 659) = ( 8 x 659 ) / 5272

GCD(8, 659) = 5272 / 5272

GCD(8, 659) = 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 32, 984, 659, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 439, 765, 435
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• GCD of 53, 147, 522, 677

1. What is the GCD of 32, 984, 659, 730?

GCD of 32, 984, 659, 730 is 1

2. Where do I get the detailed procedure to find GCD of 32, 984, 659, 730?

You can find a detailed procedure to find GCD of 32, 984, 659, 730 on our page.

3. How to find GCD of 32, 984, 659, 730 on a calculator?

You can find the GCD of 32, 984, 659, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.