GCD of 722, 523, 164, 536 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 722, 523, 164, 536 i.e. 1 largest integer that divides all the numbers equally.

GCD of 722, 523, 164, 536 is 1

GCD(722, 523, 164, 536) = 1

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

GCD of

GCD of numbers 722, 523, 164, 536 is 1

GCD(722, 523, 164, 536) = 1

GCD of 722,523,164,536 Calculator

GCDof 722,523,164,536 is 1

Given Input numbers are 722, 523, 164, 536

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

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 722, 523, 164, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 523, 164, 536 is 1.

Therefore, GCD of numbers 722, 523, 164, 536 is 1

Finding GCD of 722, 523, 164, 536 using Prime Factorization

Given Input Data is 722, 523, 164, 536

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 523 is 523

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 536 is 2 x 2 x 2 x 67

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

Finding GCD of 722, 523, 164, 536 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(722, 523) = 377606

GCD(722, 523) = ( 722 x 523 ) / 377606

GCD(722, 523) = 377606 / 377606

GCD(722, 523) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 536

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

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

GCD(1, 536) = 536 / 536

GCD(1, 536) = 1

GCD of 722, 523, 164, 536 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 722, 523, 164, 536

1. What is the GCD of 722, 523, 164, 536?

GCD of 722, 523, 164, 536 is 1


2. Where do I get the detailed procedure to find GCD of 722, 523, 164, 536?

You can find a detailed procedure to find GCD of 722, 523, 164, 536 on our page.


3. How to find GCD of 722, 523, 164, 536 on a calculator?

You can find the GCD of 722, 523, 164, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.