GCD of 920, 859, 39, 695 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 920, 859, 39, 695 i.e. 1 largest integer that divides all the numbers equally.

GCD of 920, 859, 39, 695 is 1

GCD(920, 859, 39, 695) = 1

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

GCD of

GCD of numbers 920, 859, 39, 695 is 1

GCD(920, 859, 39, 695) = 1

GCD of 920,859,39,695 Calculator

GCDof 920,859,39,695 is 1

Given Input numbers are 920, 859, 39, 695

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 859

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

1, 859

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 920, 859, 39, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 859, 39, 695 is 1.

Therefore, GCD of numbers 920, 859, 39, 695 is 1

Finding GCD of 920, 859, 39, 695 using Prime Factorization

Given Input Data is 920, 859, 39, 695

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 859 is 859

Prime Factorization of 39 is 3 x 13

Prime Factorization of 695 is 5 x 139

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

Finding GCD of 920, 859, 39, 695 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(920, 859) = 790280

GCD(920, 859) = ( 920 x 859 ) / 790280

GCD(920, 859) = 790280 / 790280

GCD(920, 859) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 920, 859, 39, 695 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 920, 859, 39, 695

1. What is the GCD of 920, 859, 39, 695?

GCD of 920, 859, 39, 695 is 1


2. Where do I get the detailed procedure to find GCD of 920, 859, 39, 695?

You can find a detailed procedure to find GCD of 920, 859, 39, 695 on our page.


3. How to find GCD of 920, 859, 39, 695 on a calculator?

You can find the GCD of 920, 859, 39, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.