Where do I get the detailed procedure to find GCD of 897, 828, 804?

You can find a detailed procedure to find GCD of 897, 828, 804 on our page.

How to find GCD of 897, 828, 804 on a calculator?

You can find the GCD of 897, 828, 804 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 897, 828, 804 Calculator

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

Online GCD Calculator is useful to find the GCD of 897, 828, 804 quickly. Get the easiest ways to solve the greatest common divisor of 897, 828, 804 i.e 3 in different methods as follows.

How to Find GCD of Numbers 897, 828, 804 with Factoring?

Given Input numbers are 897, 828, 804

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

Divisors of 897 :

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

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (897, 828, 804) = 3.

Find GCD of 897, 828, 804 using Prime Factorization

Given numbers are 897, 828, 804

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 897, 828, 804 is 3.

Steps to Calculate GCD of 897, 828, 804 using LCM Formula

Given numbers are 897, 828, 804

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

Apply this formula for all numbers.

Step1:

LCM(897, 828) = 10764

GCD(897, 828) = ( 897 x 828 ) / 10764

= 897 / 828

= 897

Step2:

LCM(69, 804) = 18492

GCD(69, 804) = ( 69 x 804 ) / 18492

= 69 / 804

= 69

So, Greatest Common Divisor of 897, 828, 804 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 897, 828, 804

Given numbers are 897, 828, 804
The greatest common divisor of numbers 897, 828, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 828, 804 is 3.

FAQs on GCD of 897, 828, 804 Calculator

1. What is the GCD of 897, 828, 804?

GCD of given numbers 897, 828, 804 is 3

2. How to calculate the greatest common divisor of 897, 828, 804?

We can find the highest common divisor of 897, 828, 804 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 897, 828, 804 i.e 3.

3. How can I use the GCD of 897, 828, 804Calculator?

Out the numbers 897, 828, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.