Where do I get the detailed procedure to find GCD of 120, 150, 398?

You can find a detailed procedure to find GCD of 120, 150, 398 on our page.

How to find GCD of 120, 150, 398 on a calculator?

You can find the GCD of 120, 150, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 120, 150, 398 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 120, 150, 398 quickly. Get the easiest ways to solve the greatest common divisor of 120, 150, 398 i.e 2 in different methods as follows.

How to Find GCD of Numbers 120, 150, 398 with Factoring?

Given Input numbers are 120, 150, 398

In the factoring method, we have to find the divisors of all numbers

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (120, 150, 398) = 2.

Find GCD of 120, 150, 398 using Prime Factorization

Given numbers are 120, 150, 398

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 120, 150, 398 is 2.

Steps to Calculate GCD of 120, 150, 398 using LCM Formula

Given numbers are 120, 150, 398

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(120, 150) = 600

GCD(120, 150) = ( 120 x 150 ) / 600

= 120 / 150

= 120

Step2:

LCM(30, 398) = 5970

GCD(30, 398) = ( 30 x 398 ) / 5970

= 30 / 398

= 30

So, Greatest Common Divisor of 120, 150, 398 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 120, 150, 398

Given numbers are 120, 150, 398
The greatest common divisor of numbers 120, 150, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 150, 398 is 2.

FAQs on GCD of 120, 150, 398 Calculator

1. What is the GCD of 120, 150, 398?

GCD of given numbers 120, 150, 398 is 2

2. How to calculate the greatest common divisor of 120, 150, 398?

We can find the highest common divisor of 120, 150, 398 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 120, 150, 398 i.e 2.

3. How can I use the GCD of 120, 150, 398Calculator?

Out the numbers 120, 150, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.