GCD of 370, 864, 789 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, 864, 789 i.e. 1 largest integer that divides all the numbers equally.

GCD of 370, 864, 789 is 1

GCD(370, 864, 789) = 1

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

GCD of

GCD of numbers 370, 864, 789 is 1

GCD(370, 864, 789) = 1

GCD of 370,864,789 Calculator

GCDof 370,864,789 is 1

Given Input numbers are 370, 864, 789

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 370, 864, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 864, 789 is 1.

Therefore, GCD of numbers 370, 864, 789 is 1

Finding GCD of 370, 864, 789 using Prime Factorization

Given Input Data is 370, 864, 789

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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 789 is 3 x 263

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

Finding GCD of 370, 864, 789 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, 864) = 159840

GCD(370, 864) = ( 370 x 864 ) / 159840

GCD(370, 864) = 319680 / 159840

GCD(370, 864) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 789

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

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

GCD(2, 789) = 1578 / 1578

GCD(2, 789) = 1

GCD of 370, 864, 789 is 1

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FAQs on GCD of numbers 370, 864, 789

1. What is the GCD of 370, 864, 789?

GCD of 370, 864, 789 is 1

2. Where do I get the detailed procedure to find GCD of 370, 864, 789?

You can find a detailed procedure to find GCD of 370, 864, 789 on our page.

3. How to find GCD of 370, 864, 789 on a calculator?

You can find the GCD of 370, 864, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.