GCD of 32, 660, 976, 818 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 32, 660, 976, 818 i.e. 2 largest integer that divides all the numbers equally.

GCD of 32, 660, 976, 818 is 2

GCD(32, 660, 976, 818) = 2

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

GCD of

GCD of numbers 32, 660, 976, 818 is 2

GCD(32, 660, 976, 818) = 2

GCD of 32,660,976,818 Calculator

GCDof 32,660,976,818 is 2

Given Input numbers are 32, 660, 976, 818

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 32, 660, 976, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 660, 976, 818 is 2.

Therefore, GCD of numbers 32, 660, 976, 818 is 2

Finding GCD of 32, 660, 976, 818 using Prime Factorization

Given Input Data is 32, 660, 976, 818

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 818 is 2 x 409

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 32, 660, 976, 818 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(32, 660) = 5280

GCD(32, 660) = ( 32 x 660 ) / 5280

GCD(32, 660) = 21120 / 5280

GCD(32, 660) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 976

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

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

GCD(4, 976) = 3904 / 976

GCD(4, 976) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 818

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

LCM(4, 818) = 1636

GCD(4, 818) = ( 4 x 818 ) / 1636

GCD(4, 818) = 3272 / 1636

GCD(4, 818) = 2

GCD of 32, 660, 976, 818 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 32, 660, 976, 818

1. What is the GCD of 32, 660, 976, 818?

GCD of 32, 660, 976, 818 is 2


2. Where do I get the detailed procedure to find GCD of 32, 660, 976, 818?

You can find a detailed procedure to find GCD of 32, 660, 976, 818 on our page.


3. How to find GCD of 32, 660, 976, 818 on a calculator?

You can find the GCD of 32, 660, 976, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.