Where do I get the detailed procedure to find GCD of 854, 392, 189?

You can find a detailed procedure to find GCD of 854, 392, 189 on our page.

How to find GCD of 854, 392, 189 on a calculator?

You can find the GCD of 854, 392, 189 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 854, 392, 189 Calculator

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

Online GCD Calculator is useful to find the GCD of 854, 392, 189 quickly. Get the easiest ways to solve the greatest common divisor of 854, 392, 189 i.e 7 in different methods as follows.

How to Find GCD of Numbers 854, 392, 189 with Factoring?

Given Input numbers are 854, 392, 189

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 189 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (854, 392, 189) = 7.

Find GCD of 854, 392, 189 using Prime Factorization

Given numbers are 854, 392, 189

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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

The highest common occurrence is 7¹

Therefore, GCD of 854, 392, 189 is 7.

Steps to Calculate GCD of 854, 392, 189 using LCM Formula

Given numbers are 854, 392, 189

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

Apply this formula for all numbers.

Step1:

LCM(854, 392) = 23912

GCD(854, 392) = ( 854 x 392 ) / 23912

= 854 / 392

= 854

Step2:

LCM(14, 189) = 378

GCD(14, 189) = ( 14 x 189 ) / 378

= 14 / 189

= 14

So, Greatest Common Divisor of 854, 392, 189 is 7

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 854, 392, 189

Given numbers are 854, 392, 189
The greatest common divisor of numbers 854, 392, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 392, 189 is 7.

FAQs on GCD of 854, 392, 189 Calculator

1. What is the GCD of 854, 392, 189?

GCD of given numbers 854, 392, 189 is 7

2. How to calculate the greatest common divisor of 854, 392, 189?

We can find the highest common divisor of 854, 392, 189 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 854, 392, 189 i.e 7.

3. How can I use the GCD of 854, 392, 189Calculator?

Out the numbers 854, 392, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.