GCD of 368, 410, 660 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 368, 410, 660 i.e. 2 largest integer that divides all the numbers equally.

GCD of 368, 410, 660 is 2

GCD(368, 410, 660) = 2

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

GCD of

GCD of numbers 368, 410, 660 is 2

GCD(368, 410, 660) = 2

GCD of 368,410,660 Calculator

GCDof 368,410,660 is 2

Given Input numbers are 368, 410, 660

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 368, 410, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 410, 660 is 2.

Therefore, GCD of numbers 368, 410, 660 is 2

Finding GCD of 368, 410, 660 using Prime Factorization

Given Input Data is 368, 410, 660

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 368, 410, 660 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(368, 410) = 75440

GCD(368, 410) = ( 368 x 410 ) / 75440

GCD(368, 410) = 150880 / 75440

GCD(368, 410) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 2

GCD of 368, 410, 660 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 368, 410, 660

1. What is the GCD of 368, 410, 660?

GCD of 368, 410, 660 is 2


2. Where do I get the detailed procedure to find GCD of 368, 410, 660?

You can find a detailed procedure to find GCD of 368, 410, 660 on our page.


3. How to find GCD of 368, 410, 660 on a calculator?

You can find the GCD of 368, 410, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.