GCD of 230, 189, 600, 476 Calculator

Given Input numbers are 230, 189, 600, 476

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 230, 189, 600, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 189, 600, 476 is 1.

Therefore, GCD of numbers 230, 189, 600, 476 is 1

Given Input Data is 230, 189, 600, 476

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 476 is 2 x 2 x 7 x 17

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(230, 189) = 43470

GCD(230, 189) = ( 230 x 189 ) / 43470

GCD(230, 189) = 43470 / 43470

GCD(230, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 230, 189, 600, 476 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 145, 723, 864
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• GCD of 122, 587, 959, 496
• GCD of 846, 204, 763, 898

1. What is the GCD of 230, 189, 600, 476?

GCD of 230, 189, 600, 476 is 1

2. Where do I get the detailed procedure to find GCD of 230, 189, 600, 476?

You can find a detailed procedure to find GCD of 230, 189, 600, 476 on our page.

3. How to find GCD of 230, 189, 600, 476 on a calculator?

You can find the GCD of 230, 189, 600, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.