GCD of 150, 789, 409, 730 Calculator

Given Input numbers are 150, 789, 409, 730

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

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 150, 789, 409, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 789, 409, 730 is 1.

Therefore, GCD of numbers 150, 789, 409, 730 is 1

Given Input Data is 150, 789, 409, 730

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 789 is 3 x 263

Prime Factorization of 409 is 409

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(150, 789) = 39450

GCD(150, 789) = ( 150 x 789 ) / 39450

GCD(150, 789) = 118350 / 39450

GCD(150, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 409

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

LCM(3, 409) = 1227

GCD(3, 409) = ( 3 x 409 ) / 1227

GCD(3, 409) = 1227 / 1227

GCD(3, 409) = 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 150, 789, 409, 730 is 1

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1. What is the GCD of 150, 789, 409, 730?

GCD of 150, 789, 409, 730 is 1

2. Where do I get the detailed procedure to find GCD of 150, 789, 409, 730?

You can find a detailed procedure to find GCD of 150, 789, 409, 730 on our page.

3. How to find GCD of 150, 789, 409, 730 on a calculator?

You can find the GCD of 150, 789, 409, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.