GCD of 900, 228, 92, 338 Calculator

Given Input numbers are 900, 228, 92, 338

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 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 900, 228, 92, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 228, 92, 338 is 2.

Therefore, GCD of numbers 900, 228, 92, 338 is 2

Given Input Data is 900, 228, 92, 338

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 228 is 2 x 2 x 3 x 19

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 338 is 2 x 13 x 13

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, 228) = 17100

GCD(900, 228) = ( 900 x 228 ) / 17100

GCD(900, 228) = 205200 / 17100

GCD(900, 228) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 92

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

LCM(12, 92) = 276

GCD(12, 92) = ( 12 x 92 ) / 276

GCD(12, 92) = 1104 / 276

GCD(12, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 338

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

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

GCD(4, 338) = 1352 / 676

GCD(4, 338) = 2

GCD of 900, 228, 92, 338 is 2

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1. What is the GCD of 900, 228, 92, 338?

GCD of 900, 228, 92, 338 is 2

2. Where do I get the detailed procedure to find GCD of 900, 228, 92, 338?

You can find a detailed procedure to find GCD of 900, 228, 92, 338 on our page.

3. How to find GCD of 900, 228, 92, 338 on a calculator?

You can find the GCD of 900, 228, 92, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.