GCD of 366, 462, 118 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 366, 462, 118 i.e. 2 largest integer that divides all the numbers equally.

GCD of 366, 462, 118 is 2

GCD(366, 462, 118) = 2

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

GCD of

GCD of numbers 366, 462, 118 is 2

GCD(366, 462, 118) = 2

GCD of 366,462,118 Calculator

GCDof 366,462,118 is 2

Given Input numbers are 366, 462, 118

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 366, 462, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 462, 118 is 2.

Therefore, GCD of numbers 366, 462, 118 is 2

Finding GCD of 366, 462, 118 using Prime Factorization

Given Input Data is 366, 462, 118

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 118 is 2 x 59

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 366, 462, 118 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(366, 462) = 28182

GCD(366, 462) = ( 366 x 462 ) / 28182

GCD(366, 462) = 169092 / 28182

GCD(366, 462) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 118

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

LCM(6, 118) = 354

GCD(6, 118) = ( 6 x 118 ) / 354

GCD(6, 118) = 708 / 354

GCD(6, 118) = 2

GCD of 366, 462, 118 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 366, 462, 118

1. What is the GCD of 366, 462, 118?

GCD of 366, 462, 118 is 2

2. Where do I get the detailed procedure to find GCD of 366, 462, 118?

You can find a detailed procedure to find GCD of 366, 462, 118 on our page.

3. How to find GCD of 366, 462, 118 on a calculator?

You can find the GCD of 366, 462, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.