Where do I get the detailed procedure to find GCD of 381, 450, 969?

You can find a detailed procedure to find GCD of 381, 450, 969 on our page.

How to find GCD of 381, 450, 969 on a calculator?

You can find the GCD of 381, 450, 969 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 381, 450, 969 Calculator

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

Online GCD Calculator is useful to find the GCD of 381, 450, 969 quickly. Get the easiest ways to solve the greatest common divisor of 381, 450, 969 i.e 3 in different methods as follows.

How to Find GCD of Numbers 381, 450, 969 with Factoring?

Given Input numbers are 381, 450, 969

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

Divisors of 381 :

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

1, 3, 127, 381

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (381, 450, 969) = 3.

Find GCD of 381, 450, 969 using Prime Factorization

Given numbers are 381, 450, 969

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 3¹

Therefore, GCD of 381, 450, 969 is 3.

Steps to Calculate GCD of 381, 450, 969 using LCM Formula

Given numbers are 381, 450, 969

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

Apply this formula for all numbers.

Step1:

LCM(381, 450) = 57150

GCD(381, 450) = ( 381 x 450 ) / 57150

= 381 / 450

= 381

Step2:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

So, Greatest Common Divisor of 381, 450, 969 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 381, 450, 969

Given numbers are 381, 450, 969
The greatest common divisor of numbers 381, 450, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 450, 969 is 3.

FAQs on GCD of 381, 450, 969 Calculator

1. What is the GCD of 381, 450, 969?

GCD of given numbers 381, 450, 969 is 3

2. How to calculate the greatest common divisor of 381, 450, 969?

We can find the highest common divisor of 381, 450, 969 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 381, 450, 969 i.e 3.

3. How can I use the GCD of 381, 450, 969Calculator?

Out the numbers 381, 450, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.