GCD of 230, 964, 30, 800 Calculator

Given Input numbers are 230, 964, 30, 800

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 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 230, 964, 30, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 964, 30, 800 is 2.

Therefore, GCD of numbers 230, 964, 30, 800 is 2

Given Input Data is 230, 964, 30, 800

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 964 is 2 x 2 x 241

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 964) = 110860

GCD(230, 964) = ( 230 x 964 ) / 110860

GCD(230, 964) = 221720 / 110860

GCD(230, 964) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

GCD of 230, 964, 30, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 992, 48, 643
• GCD of 828, 466, 39, 211
• GCD of 516, 699, 99, 664
• GCD of 424, 649, 51, 869
• GCD of 112, 485, 23, 712

1. What is the GCD of 230, 964, 30, 800?

GCD of 230, 964, 30, 800 is 2

2. Where do I get the detailed procedure to find GCD of 230, 964, 30, 800?

You can find a detailed procedure to find GCD of 230, 964, 30, 800 on our page.

3. How to find GCD of 230, 964, 30, 800 on a calculator?

You can find the GCD of 230, 964, 30, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.