GCD of 917, 972, 82, 666 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 917, 972, 82, 666 i.e. 1 largest integer that divides all the numbers equally.

GCD of 917, 972, 82, 666 is 1

GCD(917, 972, 82, 666) = 1

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

GCD of

GCD of numbers 917, 972, 82, 666 is 1

GCD(917, 972, 82, 666) = 1

GCD of 917,972,82,666 Calculator

GCDof 917,972,82,666 is 1

Given Input numbers are 917, 972, 82, 666

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 917, 972, 82, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 972, 82, 666 is 1.

Therefore, GCD of numbers 917, 972, 82, 666 is 1

Finding GCD of 917, 972, 82, 666 using Prime Factorization

Given Input Data is 917, 972, 82, 666

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 82 is 2 x 41

Prime Factorization of 666 is 2 x 3 x 3 x 37

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

Finding GCD of 917, 972, 82, 666 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(917, 972) = 891324

GCD(917, 972) = ( 917 x 972 ) / 891324

GCD(917, 972) = 891324 / 891324

GCD(917, 972) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 666

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

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

GCD(1, 666) = 666 / 666

GCD(1, 666) = 1

GCD of 917, 972, 82, 666 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 917, 972, 82, 666

1. What is the GCD of 917, 972, 82, 666?

GCD of 917, 972, 82, 666 is 1


2. Where do I get the detailed procedure to find GCD of 917, 972, 82, 666?

You can find a detailed procedure to find GCD of 917, 972, 82, 666 on our page.


3. How to find GCD of 917, 972, 82, 666 on a calculator?

You can find the GCD of 917, 972, 82, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.