GCD of 660, 693, 992, 918 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 660, 693, 992, 918 i.e. 1 largest integer that divides all the numbers equally.

GCD of 660, 693, 992, 918 is 1

GCD(660, 693, 992, 918) = 1

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

GCD of

GCD of numbers 660, 693, 992, 918 is 1

GCD(660, 693, 992, 918) = 1

GCD of 660,693,992,918 Calculator

GCDof 660,693,992,918 is 1

Given Input numbers are 660, 693, 992, 918

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

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 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 660, 693, 992, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 693, 992, 918 is 1.

Therefore, GCD of numbers 660, 693, 992, 918 is 1

Finding GCD of 660, 693, 992, 918 using Prime Factorization

Given Input Data is 660, 693, 992, 918

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

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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

Finding GCD of 660, 693, 992, 918 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(660, 693) = 13860

GCD(660, 693) = ( 660 x 693 ) / 13860

GCD(660, 693) = 457380 / 13860

GCD(660, 693) = 33


Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 992

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

LCM(33, 992) = 32736

GCD(33, 992) = ( 33 x 992 ) / 32736

GCD(33, 992) = 32736 / 32736

GCD(33, 992) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 660, 693, 992, 918 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 660, 693, 992, 918

1. What is the GCD of 660, 693, 992, 918?

GCD of 660, 693, 992, 918 is 1


2. Where do I get the detailed procedure to find GCD of 660, 693, 992, 918?

You can find a detailed procedure to find GCD of 660, 693, 992, 918 on our page.


3. How to find GCD of 660, 693, 992, 918 on a calculator?

You can find the GCD of 660, 693, 992, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.