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GCD of 854, 366, 382, 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, 366, 382, 189 quickly. Get the easiest ways to solve the greatest common divisor of 854, 366, 382, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 854, 366, 382, 189 with Factoring?

Given Input numbers are 854, 366, 382, 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 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

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, 366, 382, 189) = 1.

Find GCD of 854, 366, 382, 189 using Prime Factorization

Given numbers are 854, 366, 382, 189

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 366 are 2 x 3 x 61

Prime factors of 382 are 2 x 191

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

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 854, 366, 382, 189 using LCM Formula

Given numbers are 854, 366, 382, 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, 366) = 2562

GCD(854, 366) = ( 854 x 366 ) / 2562

= 854 / 366

= 854


Step2:

LCM(122, 382) = 23302

GCD(122, 382) = ( 122 x 382 ) / 23302

= 122 / 382

= 122


Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2


So, Greatest Common Divisor of 854, 366, 382, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 854, 366, 382, 189

Given numbers are 854, 366, 382, 189
The greatest common divisor of numbers 854, 366, 382, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 366, 382, 189 is 1.

FAQs on GCD of 854, 366, 382, 189 Calculator

1. What is the GCD of 854, 366, 382, 189?

GCD of given numbers 854, 366, 382, 189 is 1


2. How to calculate the greatest common divisor of 854, 366, 382, 189?

We can find the highest common divisor of 854, 366, 382, 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, 366, 382, 189 i.e 1.


3. How can I use the GCD of 854, 366, 382, 189Calculator?

Out the numbers 854, 366, 382, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.