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GCD of 162, 272, 110, 394 Calculator

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


Online GCD Calculator is useful to find the GCD of 162, 272, 110, 394 quickly. Get the easiest ways to solve the greatest common divisor of 162, 272, 110, 394 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 162, 272, 110, 394 with Factoring?

Given Input numbers are 162, 272, 110, 394

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394


GCD of numbers is the greatest common divisor

So, the GCD (162, 272, 110, 394) = 2.

Find GCD of 162, 272, 110, 394 using Prime Factorization

Given numbers are 162, 272, 110, 394

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 110 are 2 x 5 x 11

Prime factors of 394 are 2 x 197

The highest common occurrence is 21

Therefore, GCD of 162, 272, 110, 394 is 2.

Steps to Calculate GCD of 162, 272, 110, 394 using LCM Formula

Given numbers are 162, 272, 110, 394

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

Apply this formula for all numbers.

Step1:

LCM(162, 272) = 22032

GCD(162, 272) = ( 162 x 272 ) / 22032

= 162 / 272

= 162


Step2:

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

= 2 / 110

= 2


Step3:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2


So, Greatest Common Divisor of 162, 272, 110, 394 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 162, 272, 110, 394

Given numbers are 162, 272, 110, 394
The greatest common divisor of numbers 162, 272, 110, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 272, 110, 394 is 2.

FAQs on GCD of 162, 272, 110, 394 Calculator

1. What is the GCD of 162, 272, 110, 394?

GCD of given numbers 162, 272, 110, 394 is 2


2. How to calculate the greatest common divisor of 162, 272, 110, 394?

We can find the highest common divisor of 162, 272, 110, 394 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 162, 272, 110, 394 i.e 2.


3. How can I use the GCD of 162, 272, 110, 394Calculator?

Out the numbers 162, 272, 110, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.