GCD of 722, 825, 29, 370 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, 825, 29, 370 i.e. 1 largest integer that divides all the numbers equally.

GCD of 722, 825, 29, 370 is 1

GCD(722, 825, 29, 370) = 1

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

GCD of

GCD of numbers 722, 825, 29, 370 is 1

GCD(722, 825, 29, 370) = 1

GCD of 722,825,29,370 Calculator

GCDof 722,825,29,370 is 1

Given Input numbers are 722, 825, 29, 370

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 722, 825, 29, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 825, 29, 370 is 1.

Therefore, GCD of numbers 722, 825, 29, 370 is 1

Finding GCD of 722, 825, 29, 370 using Prime Factorization

Given Input Data is 722, 825, 29, 370

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 825 is 3 x 5 x 5 x 11

Prime Factorization of 29 is 29

Prime Factorization of 370 is 2 x 5 x 37

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

Finding GCD of 722, 825, 29, 370 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, 825) = 595650

GCD(722, 825) = ( 722 x 825 ) / 595650

GCD(722, 825) = 595650 / 595650

GCD(722, 825) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 722, 825, 29, 370 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 722, 825, 29, 370

1. What is the GCD of 722, 825, 29, 370?

GCD of 722, 825, 29, 370 is 1


2. Where do I get the detailed procedure to find GCD of 722, 825, 29, 370?

You can find a detailed procedure to find GCD of 722, 825, 29, 370 on our page.


3. How to find GCD of 722, 825, 29, 370 on a calculator?

You can find the GCD of 722, 825, 29, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.