GCD of 370, 730, 826, 381 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 370, 730, 826, 381 i.e. 1 largest integer that divides all the numbers equally.

GCD of 370, 730, 826, 381 is 1

GCD(370, 730, 826, 381) = 1

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

GCD of

GCD of numbers 370, 730, 826, 381 is 1

GCD(370, 730, 826, 381) = 1

GCD of 370,730,826,381 Calculator

GCDof 370,730,826,381 is 1

Given Input numbers are 370, 730, 826, 381

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

Divisors of 370

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

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 370, 730, 826, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 730, 826, 381 is 1.

Therefore, GCD of numbers 370, 730, 826, 381 is 1

Finding GCD of 370, 730, 826, 381 using Prime Factorization

Given Input Data is 370, 730, 826, 381

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 381 is 3 x 127

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

Finding GCD of 370, 730, 826, 381 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(370, 730) = 27010

GCD(370, 730) = ( 370 x 730 ) / 27010

GCD(370, 730) = 270100 / 27010

GCD(370, 730) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 826

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

LCM(10, 826) = 4130

GCD(10, 826) = ( 10 x 826 ) / 4130

GCD(10, 826) = 8260 / 4130

GCD(10, 826) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

GCD of 370, 730, 826, 381 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 370, 730, 826, 381

1. What is the GCD of 370, 730, 826, 381?

GCD of 370, 730, 826, 381 is 1


2. Where do I get the detailed procedure to find GCD of 370, 730, 826, 381?

You can find a detailed procedure to find GCD of 370, 730, 826, 381 on our page.


3. How to find GCD of 370, 730, 826, 381 on a calculator?

You can find the GCD of 370, 730, 826, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.