Where do I get the detailed procedure to find GCD of 150, 303, 381?

You can find a detailed procedure to find GCD of 150, 303, 381 on our page.

How to find GCD of 150, 303, 381 on a calculator?

You can find the GCD of 150, 303, 381 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 150, 303, 381 Calculator

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

Online GCD Calculator is useful to find the GCD of 150, 303, 381 quickly. Get the easiest ways to solve the greatest common divisor of 150, 303, 381 i.e 3 in different methods as follows.

How to Find GCD of Numbers 150, 303, 381 with Factoring?

Given Input numbers are 150, 303, 381

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

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 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (150, 303, 381) = 3.

Find GCD of 150, 303, 381 using Prime Factorization

Given numbers are 150, 303, 381

The list of prime factors of all numbers are

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

Prime factors of 303 are 3 x 101

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 150, 303, 381 is 3.

Steps to Calculate GCD of 150, 303, 381 using LCM Formula

Given numbers are 150, 303, 381

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

Apply this formula for all numbers.

Step1:

LCM(150, 303) = 15150

GCD(150, 303) = ( 150 x 303 ) / 15150

= 150 / 303

= 150

Step2:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3

So, Greatest Common Divisor of 150, 303, 381 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 150, 303, 381

Given numbers are 150, 303, 381
The greatest common divisor of numbers 150, 303, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 303, 381 is 3.

FAQs on GCD of 150, 303, 381 Calculator

1. What is the GCD of 150, 303, 381?

GCD of given numbers 150, 303, 381 is 3

2. How to calculate the greatest common divisor of 150, 303, 381?

We can find the highest common divisor of 150, 303, 381 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 150, 303, 381 i.e 3.

3. How can I use the GCD of 150, 303, 381Calculator?

Out the numbers 150, 303, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.