Where do I get the detailed procedure to find GCD of 858, 189, 792?

You can find a detailed procedure to find GCD of 858, 189, 792 on our page.

How to find GCD of 858, 189, 792 on a calculator?

You can find the GCD of 858, 189, 792 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 858, 189, 792 Calculator

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

Online GCD Calculator is useful to find the GCD of 858, 189, 792 quickly. Get the easiest ways to solve the greatest common divisor of 858, 189, 792 i.e 3 in different methods as follows.

How to Find GCD of Numbers 858, 189, 792 with Factoring?

Given Input numbers are 858, 189, 792

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

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

GCD of numbers is the greatest common divisor

So, the GCD (858, 189, 792) = 3.

Find GCD of 858, 189, 792 using Prime Factorization

Given numbers are 858, 189, 792

The list of prime factors of all numbers are

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 858, 189, 792 is 3.

Steps to Calculate GCD of 858, 189, 792 using LCM Formula

Given numbers are 858, 189, 792

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

Apply this formula for all numbers.

Step1:

LCM(858, 189) = 54054

GCD(858, 189) = ( 858 x 189 ) / 54054

= 858 / 189

= 858

Step2:

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

= 3 / 792

= 3

So, Greatest Common Divisor of 858, 189, 792 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 858, 189, 792

Given numbers are 858, 189, 792
The greatest common divisor of numbers 858, 189, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 189, 792 is 3.

FAQs on GCD of 858, 189, 792 Calculator

1. What is the GCD of 858, 189, 792?

GCD of given numbers 858, 189, 792 is 3

2. How to calculate the greatest common divisor of 858, 189, 792?

We can find the highest common divisor of 858, 189, 792 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 858, 189, 792 i.e 3.

3. How can I use the GCD of 858, 189, 792Calculator?

Out the numbers 858, 189, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.