GCD of 396, 141, 86, 162 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 396, 141, 86, 162 i.e. 1 largest integer that divides all the numbers equally.

GCD of 396, 141, 86, 162 is 1

GCD(396, 141, 86, 162) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 396, 141, 86, 162 is 1

GCD(396, 141, 86, 162) = 1

GCD of 396,141,86,162 Calculator

GCDof 396,141,86,162 is 1

Given Input numbers are 396, 141, 86, 162

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

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

Greatest Common Divisior

We found the divisors of 396, 141, 86, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 141, 86, 162 is 1.

Therefore, GCD of numbers 396, 141, 86, 162 is 1

Finding GCD of 396, 141, 86, 162 using Prime Factorization

Given Input Data is 396, 141, 86, 162

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 141 is 3 x 47

Prime Factorization of 86 is 2 x 43

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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

Finding GCD of 396, 141, 86, 162 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(396, 141) = 18612

GCD(396, 141) = ( 396 x 141 ) / 18612

GCD(396, 141) = 55836 / 18612

GCD(396, 141) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 396, 141, 86, 162 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 396, 141, 86, 162

1. What is the GCD of 396, 141, 86, 162?

GCD of 396, 141, 86, 162 is 1


2. Where do I get the detailed procedure to find GCD of 396, 141, 86, 162?

You can find a detailed procedure to find GCD of 396, 141, 86, 162 on our page.


3. How to find GCD of 396, 141, 86, 162 on a calculator?

You can find the GCD of 396, 141, 86, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.