GCD of 766, 988, 11, 931 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 766, 988, 11, 931 i.e. 1 largest integer that divides all the numbers equally.

GCD of 766, 988, 11, 931 is 1

GCD(766, 988, 11, 931) = 1

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

GCD of

GCD of numbers 766, 988, 11, 931 is 1

GCD(766, 988, 11, 931) = 1

GCD of 766,988,11,931 Calculator

GCDof 766,988,11,931 is 1

Given Input numbers are 766, 988, 11, 931

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 766, 988, 11, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 988, 11, 931 is 1.

Therefore, GCD of numbers 766, 988, 11, 931 is 1

Finding GCD of 766, 988, 11, 931 using Prime Factorization

Given Input Data is 766, 988, 11, 931

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 11 is 11

Prime Factorization of 931 is 7 x 7 x 19

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

Finding GCD of 766, 988, 11, 931 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(766, 988) = 378404

GCD(766, 988) = ( 766 x 988 ) / 378404

GCD(766, 988) = 756808 / 378404

GCD(766, 988) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 931

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

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

GCD(1, 931) = 931 / 931

GCD(1, 931) = 1

GCD of 766, 988, 11, 931 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 766, 988, 11, 931

1. What is the GCD of 766, 988, 11, 931?

GCD of 766, 988, 11, 931 is 1


2. Where do I get the detailed procedure to find GCD of 766, 988, 11, 931?

You can find a detailed procedure to find GCD of 766, 988, 11, 931 on our page.


3. How to find GCD of 766, 988, 11, 931 on a calculator?

You can find the GCD of 766, 988, 11, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.