Where do I get the detailed procedure to find GCD of 150, 414, 897?

You can find a detailed procedure to find GCD of 150, 414, 897 on our page.

How to find GCD of 150, 414, 897 on a calculator?

You can find the GCD of 150, 414, 897 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, 414, 897 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, 414, 897 quickly. Get the easiest ways to solve the greatest common divisor of 150, 414, 897 i.e 3 in different methods as follows.

How to Find GCD of Numbers 150, 414, 897 with Factoring?

Given Input numbers are 150, 414, 897

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

GCD of numbers is the greatest common divisor

So, the GCD (150, 414, 897) = 3.

Find GCD of 150, 414, 897 using Prime Factorization

Given numbers are 150, 414, 897

The list of prime factors of all numbers are

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

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 897 are 3 x 13 x 23

The highest common occurrence is 3¹

Therefore, GCD of 150, 414, 897 is 3.

Steps to Calculate GCD of 150, 414, 897 using LCM Formula

Given numbers are 150, 414, 897

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

Apply this formula for all numbers.

Step1:

LCM(150, 414) = 10350

GCD(150, 414) = ( 150 x 414 ) / 10350

= 150 / 414

= 150

Step2:

LCM(6, 897) = 1794

GCD(6, 897) = ( 6 x 897 ) / 1794

= 6 / 897

= 6

So, Greatest Common Divisor of 150, 414, 897 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 150, 414, 897

Given numbers are 150, 414, 897
The greatest common divisor of numbers 150, 414, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 414, 897 is 3.

FAQs on GCD of 150, 414, 897 Calculator

1. What is the GCD of 150, 414, 897?

GCD of given numbers 150, 414, 897 is 3

2. How to calculate the greatest common divisor of 150, 414, 897?

We can find the highest common divisor of 150, 414, 897 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, 414, 897 i.e 3.

3. How can I use the GCD of 150, 414, 897Calculator?

Out the numbers 150, 414, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.