GCD of 900, 460, 184, 238 Calculator

Given Input numbers are 900, 460, 184, 238

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 900, 460, 184, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 460, 184, 238 is 2.

Therefore, GCD of numbers 900, 460, 184, 238 is 2

Given Input Data is 900, 460, 184, 238

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 238 is 2 x 7 x 17

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(900, 460) = 20700

GCD(900, 460) = ( 900 x 460 ) / 20700

GCD(900, 460) = 414000 / 20700

GCD(900, 460) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 184

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

LCM(20, 184) = 920

GCD(20, 184) = ( 20 x 184 ) / 920

GCD(20, 184) = 3680 / 920

GCD(20, 184) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 238

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

LCM(4, 238) = 476

GCD(4, 238) = ( 4 x 238 ) / 476

GCD(4, 238) = 952 / 476

GCD(4, 238) = 2

GCD of 900, 460, 184, 238 is 2

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1. What is the GCD of 900, 460, 184, 238?

GCD of 900, 460, 184, 238 is 2

2. Where do I get the detailed procedure to find GCD of 900, 460, 184, 238?

You can find a detailed procedure to find GCD of 900, 460, 184, 238 on our page.

3. How to find GCD of 900, 460, 184, 238 on a calculator?

You can find the GCD of 900, 460, 184, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.