GCD of 742, 722, 229, 352 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 742, 722, 229, 352 i.e. 1 largest integer that divides all the numbers equally.

GCD of 742, 722, 229, 352 is 1

GCD(742, 722, 229, 352) = 1

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

GCD of

GCD of numbers 742, 722, 229, 352 is 1

GCD(742, 722, 229, 352) = 1

GCD of 742,722,229,352 Calculator

GCDof 742,722,229,352 is 1

Given Input numbers are 742, 722, 229, 352

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 742, 722, 229, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 722, 229, 352 is 1.

Therefore, GCD of numbers 742, 722, 229, 352 is 1

Finding GCD of 742, 722, 229, 352 using Prime Factorization

Given Input Data is 742, 722, 229, 352

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 229 is 229

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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

Finding GCD of 742, 722, 229, 352 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(742, 722) = 267862

GCD(742, 722) = ( 742 x 722 ) / 267862

GCD(742, 722) = 535724 / 267862

GCD(742, 722) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 229

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

LCM(2, 229) = 458

GCD(2, 229) = ( 2 x 229 ) / 458

GCD(2, 229) = 458 / 458

GCD(2, 229) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 742, 722, 229, 352 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 742, 722, 229, 352

1. What is the GCD of 742, 722, 229, 352?

GCD of 742, 722, 229, 352 is 1


2. Where do I get the detailed procedure to find GCD of 742, 722, 229, 352?

You can find a detailed procedure to find GCD of 742, 722, 229, 352 on our page.


3. How to find GCD of 742, 722, 229, 352 on a calculator?

You can find the GCD of 742, 722, 229, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.