GCD of 945, 389, 30, 470 Calculator

Given Input numbers are 945, 389, 30, 470

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 945, 389, 30, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 389, 30, 470 is 1.

Therefore, GCD of numbers 945, 389, 30, 470 is 1

Given Input Data is 945, 389, 30, 470

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 389 is 389

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 470 is 2 x 5 x 47

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(945, 389) = 367605

GCD(945, 389) = ( 945 x 389 ) / 367605

GCD(945, 389) = 367605 / 367605

GCD(945, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 945, 389, 30, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 382, 63, 259
• GCD of 513, 824, 85, 502
• GCD of 954, 275, 61, 451
• GCD of 990, 351, 20, 388
• GCD of 232, 912, 46, 737

1. What is the GCD of 945, 389, 30, 470?

GCD of 945, 389, 30, 470 is 1

2. Where do I get the detailed procedure to find GCD of 945, 389, 30, 470?

You can find a detailed procedure to find GCD of 945, 389, 30, 470 on our page.

3. How to find GCD of 945, 389, 30, 470 on a calculator?

You can find the GCD of 945, 389, 30, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.