GCD of 150, 592, 900, 338 Calculator

Given Input numbers are 150, 592, 900, 338

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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 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 150, 592, 900, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 592, 900, 338 is 2.

Therefore, GCD of numbers 150, 592, 900, 338 is 2

Given Input Data is 150, 592, 900, 338

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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

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(150, 592) = 44400

GCD(150, 592) = ( 150 x 592 ) / 44400

GCD(150, 592) = 88800 / 44400

GCD(150, 592) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

GCD of 150, 592, 900, 338 is 2

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1. What is the GCD of 150, 592, 900, 338?

GCD of 150, 592, 900, 338 is 2

2. Where do I get the detailed procedure to find GCD of 150, 592, 900, 338?

You can find a detailed procedure to find GCD of 150, 592, 900, 338 on our page.

3. How to find GCD of 150, 592, 900, 338 on a calculator?

You can find the GCD of 150, 592, 900, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.