GCD of 364, 598, 150 Calculator

Given Input numbers are 364, 598, 150

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

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

Greatest Common Divisior

We found the divisors of 364, 598, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 598, 150 is 2.

Therefore, GCD of numbers 364, 598, 150 is 2

Given Input Data is 364, 598, 150

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 150 is 2 x 3 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(364, 598) = 8372

GCD(364, 598) = ( 364 x 598 ) / 8372

GCD(364, 598) = 217672 / 8372

GCD(364, 598) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 150

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

LCM(26, 150) = 1950

GCD(26, 150) = ( 26 x 150 ) / 1950

GCD(26, 150) = 3900 / 1950

GCD(26, 150) = 2

GCD of 364, 598, 150 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 217, 142
• GCD of 773, 485, 331
• GCD of 447, 586, 111
• GCD of 943, 658, 752
• GCD of 632, 737, 696

1. What is the GCD of 364, 598, 150?

GCD of 364, 598, 150 is 2

2. Where do I get the detailed procedure to find GCD of 364, 598, 150?

You can find a detailed procedure to find GCD of 364, 598, 150 on our page.

3. How to find GCD of 364, 598, 150 on a calculator?

You can find the GCD of 364, 598, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.