GCD of 652, 724, 622, 311 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 652, 724, 622, 311 i.e. 1 largest integer that divides all the numbers equally.

GCD of 652, 724, 622, 311 is 1

GCD(652, 724, 622, 311) = 1

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

GCD of

GCD of numbers 652, 724, 622, 311 is 1

GCD(652, 724, 622, 311) = 1

GCD of 652,724,622,311 Calculator

GCDof 652,724,622,311 is 1

Given Input numbers are 652, 724, 622, 311

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

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 652, 724, 622, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 724, 622, 311 is 1.

Therefore, GCD of numbers 652, 724, 622, 311 is 1

Finding GCD of 652, 724, 622, 311 using Prime Factorization

Given Input Data is 652, 724, 622, 311

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

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 622 is 2 x 311

Prime Factorization of 311 is 311

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

Finding GCD of 652, 724, 622, 311 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(652, 724) = 118012

GCD(652, 724) = ( 652 x 724 ) / 118012

GCD(652, 724) = 472048 / 118012

GCD(652, 724) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 622

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

LCM(4, 622) = 1244

GCD(4, 622) = ( 4 x 622 ) / 1244

GCD(4, 622) = 2488 / 1244

GCD(4, 622) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

GCD of 652, 724, 622, 311 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 652, 724, 622, 311

1. What is the GCD of 652, 724, 622, 311?

GCD of 652, 724, 622, 311 is 1


2. Where do I get the detailed procedure to find GCD of 652, 724, 622, 311?

You can find a detailed procedure to find GCD of 652, 724, 622, 311 on our page.


3. How to find GCD of 652, 724, 622, 311 on a calculator?

You can find the GCD of 652, 724, 622, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.