GCD of 767, 922, 167, 728 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 767, 922, 167, 728 i.e. 1 largest integer that divides all the numbers equally.

GCD of 767, 922, 167, 728 is 1

GCD(767, 922, 167, 728) = 1

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

GCD of

GCD of numbers 767, 922, 167, 728 is 1

GCD(767, 922, 167, 728) = 1

GCD of 767,922,167,728 Calculator

GCDof 767,922,167,728 is 1

Given Input numbers are 767, 922, 167, 728

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 767, 922, 167, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 922, 167, 728 is 1.

Therefore, GCD of numbers 767, 922, 167, 728 is 1

Finding GCD of 767, 922, 167, 728 using Prime Factorization

Given Input Data is 767, 922, 167, 728

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 922 is 2 x 461

Prime Factorization of 167 is 167

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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

Finding GCD of 767, 922, 167, 728 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(767, 922) = 707174

GCD(767, 922) = ( 767 x 922 ) / 707174

GCD(767, 922) = 707174 / 707174

GCD(767, 922) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 167

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

LCM(1, 167) = 167

GCD(1, 167) = ( 1 x 167 ) / 167

GCD(1, 167) = 167 / 167

GCD(1, 167) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 767, 922, 167, 728 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 767, 922, 167, 728

1. What is the GCD of 767, 922, 167, 728?

GCD of 767, 922, 167, 728 is 1


2. Where do I get the detailed procedure to find GCD of 767, 922, 167, 728?

You can find a detailed procedure to find GCD of 767, 922, 167, 728 on our page.


3. How to find GCD of 767, 922, 167, 728 on a calculator?

You can find the GCD of 767, 922, 167, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.