GCD of 917, 765, 906 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, 765, 906 i.e. 1 largest integer that divides all the numbers equally.

GCD of 917, 765, 906 is 1

GCD(917, 765, 906) = 1

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

GCD of

GCD of numbers 917, 765, 906 is 1

GCD(917, 765, 906) = 1

GCD of 917,765,906 Calculator

GCDof 917,765,906 is 1

Given Input numbers are 917, 765, 906

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 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 917, 765, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 765, 906 is 1.

Therefore, GCD of numbers 917, 765, 906 is 1

Finding GCD of 917, 765, 906 using Prime Factorization

Given Input Data is 917, 765, 906

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 906 is 2 x 3 x 151

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

Finding GCD of 917, 765, 906 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, 765) = 701505

GCD(917, 765) = ( 917 x 765 ) / 701505

GCD(917, 765) = 701505 / 701505

GCD(917, 765) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 917, 765, 906 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 917, 765, 906

1. What is the GCD of 917, 765, 906?

GCD of 917, 765, 906 is 1


2. Where do I get the detailed procedure to find GCD of 917, 765, 906?

You can find a detailed procedure to find GCD of 917, 765, 906 on our page.


3. How to find GCD of 917, 765, 906 on a calculator?

You can find the GCD of 917, 765, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.