Where do I get the detailed procedure to find GCD of 150, 360, 454?

You can find a detailed procedure to find GCD of 150, 360, 454 on our page.

How to find GCD of 150, 360, 454 on a calculator?

You can find the GCD of 150, 360, 454 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, 360, 454 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, 360, 454 quickly. Get the easiest ways to solve the greatest common divisor of 150, 360, 454 i.e 2 in different methods as follows.

How to Find GCD of Numbers 150, 360, 454 with Factoring?

Given Input numbers are 150, 360, 454

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

GCD of numbers is the greatest common divisor

So, the GCD (150, 360, 454) = 2.

Find GCD of 150, 360, 454 using Prime Factorization

Given numbers are 150, 360, 454

The list of prime factors of all numbers are

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 454 are 2 x 227

The highest common occurrence is 2¹

Therefore, GCD of 150, 360, 454 is 2.

Steps to Calculate GCD of 150, 360, 454 using LCM Formula

Given numbers are 150, 360, 454

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

Apply this formula for all numbers.

Step1:

LCM(150, 360) = 1800

GCD(150, 360) = ( 150 x 360 ) / 1800

= 150 / 360

= 150

Step2:

LCM(30, 454) = 6810

GCD(30, 454) = ( 30 x 454 ) / 6810

= 30 / 454

= 30

So, Greatest Common Divisor of 150, 360, 454 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 150, 360, 454

Given numbers are 150, 360, 454
The greatest common divisor of numbers 150, 360, 454 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 360, 454 is 2.

FAQs on GCD of 150, 360, 454 Calculator

1. What is the GCD of 150, 360, 454?

GCD of given numbers 150, 360, 454 is 2

2. How to calculate the greatest common divisor of 150, 360, 454?

We can find the highest common divisor of 150, 360, 454 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, 360, 454 i.e 2.

3. How can I use the GCD of 150, 360, 454Calculator?

Out the numbers 150, 360, 454 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.