GCD of 730, 512, 689, 180 Calculator

Given Input numbers are 730, 512, 689, 180

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

Divisors of 730

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

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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

Greatest Common Divisior

We found the divisors of 730, 512, 689, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 512, 689, 180 is 1.

Therefore, GCD of numbers 730, 512, 689, 180 is 1

Given Input Data is 730, 512, 689, 180

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 689 is 13 x 53

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

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(730, 512) = 186880

GCD(730, 512) = ( 730 x 512 ) / 186880

GCD(730, 512) = 373760 / 186880

GCD(730, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 730, 512, 689, 180 is 1

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1. What is the GCD of 730, 512, 689, 180?

GCD of 730, 512, 689, 180 is 1

2. Where do I get the detailed procedure to find GCD of 730, 512, 689, 180?

You can find a detailed procedure to find GCD of 730, 512, 689, 180 on our page.

3. How to find GCD of 730, 512, 689, 180 on a calculator?

You can find the GCD of 730, 512, 689, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.