GCD of 162, 722, 764 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 162, 722, 764 i.e. 2 largest integer that divides all the numbers equally.

GCD of 162, 722, 764 is 2

GCD(162, 722, 764) = 2

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

GCD of

GCD of numbers 162, 722, 764 is 2

GCD(162, 722, 764) = 2

GCD of 162,722,764 Calculator

GCDof 162,722,764 is 2

Given Input numbers are 162, 722, 764

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 162, 722, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 722, 764 is 2.

Therefore, GCD of numbers 162, 722, 764 is 2

Finding GCD of 162, 722, 764 using Prime Factorization

Given Input Data is 162, 722, 764

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 764 is 2 x 2 x 191

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 162, 722, 764 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(162, 722) = 58482

GCD(162, 722) = ( 162 x 722 ) / 58482

GCD(162, 722) = 116964 / 58482

GCD(162, 722) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

GCD of 162, 722, 764 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 162, 722, 764

1. What is the GCD of 162, 722, 764?

GCD of 162, 722, 764 is 2


2. Where do I get the detailed procedure to find GCD of 162, 722, 764?

You can find a detailed procedure to find GCD of 162, 722, 764 on our page.


3. How to find GCD of 162, 722, 764 on a calculator?

You can find the GCD of 162, 722, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.