GCD of 364, 859, 992 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 364, 859, 992 i.e. 1 largest integer that divides all the numbers equally.

GCD of 364, 859, 992 is 1

GCD(364, 859, 992) = 1

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

GCD of

GCD of numbers 364, 859, 992 is 1

GCD(364, 859, 992) = 1

GCD of 364,859,992 Calculator

GCDof 364,859,992 is 1

Given Input numbers are 364, 859, 992

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 364, 859, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 859, 992 is 1.

Therefore, GCD of numbers 364, 859, 992 is 1

Finding GCD of 364, 859, 992 using Prime Factorization

Given Input Data is 364, 859, 992

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 859 is 859

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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

Finding GCD of 364, 859, 992 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(364, 859) = 312676

GCD(364, 859) = ( 364 x 859 ) / 312676

GCD(364, 859) = 312676 / 312676

GCD(364, 859) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 364, 859, 992 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 364, 859, 992

1. What is the GCD of 364, 859, 992?

GCD of 364, 859, 992 is 1


2. Where do I get the detailed procedure to find GCD of 364, 859, 992?

You can find a detailed procedure to find GCD of 364, 859, 992 on our page.


3. How to find GCD of 364, 859, 992 on a calculator?

You can find the GCD of 364, 859, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.