Where do I get the detailed procedure to find GCD of 825, 966, 378?

You can find a detailed procedure to find GCD of 825, 966, 378 on our page.

How to find GCD of 825, 966, 378 on a calculator?

You can find the GCD of 825, 966, 378 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 825, 966, 378 Calculator

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

Online GCD Calculator is useful to find the GCD of 825, 966, 378 quickly. Get the easiest ways to solve the greatest common divisor of 825, 966, 378 i.e 3 in different methods as follows.

How to Find GCD of Numbers 825, 966, 378 with Factoring?

Given Input numbers are 825, 966, 378

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (825, 966, 378) = 3.

Find GCD of 825, 966, 378 using Prime Factorization

Given numbers are 825, 966, 378

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 825, 966, 378 is 3.

Steps to Calculate GCD of 825, 966, 378 using LCM Formula

Given numbers are 825, 966, 378

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

Apply this formula for all numbers.

Step1:

LCM(825, 966) = 265650

GCD(825, 966) = ( 825 x 966 ) / 265650

= 825 / 966

= 825

Step2:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 825, 966, 378 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 825, 966, 378

Given numbers are 825, 966, 378
The greatest common divisor of numbers 825, 966, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 966, 378 is 3.

FAQs on GCD of 825, 966, 378 Calculator

1. What is the GCD of 825, 966, 378?

GCD of given numbers 825, 966, 378 is 3

2. How to calculate the greatest common divisor of 825, 966, 378?

We can find the highest common divisor of 825, 966, 378 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 825, 966, 378 i.e 3.

3. How can I use the GCD of 825, 966, 378Calculator?

Out the numbers 825, 966, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.