GCD of 722, 426, 221, 383 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, 426, 221, 383 i.e. 1 largest integer that divides all the numbers equally.

GCD of 722, 426, 221, 383 is 1

GCD(722, 426, 221, 383) = 1

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

GCD of

GCD of numbers 722, 426, 221, 383 is 1

GCD(722, 426, 221, 383) = 1

GCD of 722,426,221,383 Calculator

GCDof 722,426,221,383 is 1

Given Input numbers are 722, 426, 221, 383

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 722, 426, 221, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 426, 221, 383 is 1.

Therefore, GCD of numbers 722, 426, 221, 383 is 1

Finding GCD of 722, 426, 221, 383 using Prime Factorization

Given Input Data is 722, 426, 221, 383

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 426 is 2 x 3 x 71

Prime Factorization of 221 is 13 x 17

Prime Factorization of 383 is 383

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

Finding GCD of 722, 426, 221, 383 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, 426) = 153786

GCD(722, 426) = ( 722 x 426 ) / 153786

GCD(722, 426) = 307572 / 153786

GCD(722, 426) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 722, 426, 221, 383 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 722, 426, 221, 383

1. What is the GCD of 722, 426, 221, 383?

GCD of 722, 426, 221, 383 is 1


2. Where do I get the detailed procedure to find GCD of 722, 426, 221, 383?

You can find a detailed procedure to find GCD of 722, 426, 221, 383 on our page.


3. How to find GCD of 722, 426, 221, 383 on a calculator?

You can find the GCD of 722, 426, 221, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.