GCD of 143, 465, 38, 859 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 143, 465, 38, 859 i.e. 1 largest integer that divides all the numbers equally.

GCD of 143, 465, 38, 859 is 1

GCD(143, 465, 38, 859) = 1

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

GCD of

GCD of numbers 143, 465, 38, 859 is 1

GCD(143, 465, 38, 859) = 1

GCD of 143,465,38,859 Calculator

GCDof 143,465,38,859 is 1

Given Input numbers are 143, 465, 38, 859

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 859

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

1, 859

Greatest Common Divisior

We found the divisors of 143, 465, 38, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 465, 38, 859 is 1.

Therefore, GCD of numbers 143, 465, 38, 859 is 1

Finding GCD of 143, 465, 38, 859 using Prime Factorization

Given Input Data is 143, 465, 38, 859

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 38 is 2 x 19

Prime Factorization of 859 is 859

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

Finding GCD of 143, 465, 38, 859 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(143, 465) = 66495

GCD(143, 465) = ( 143 x 465 ) / 66495

GCD(143, 465) = 66495 / 66495

GCD(143, 465) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

GCD of 143, 465, 38, 859 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 143, 465, 38, 859

1. What is the GCD of 143, 465, 38, 859?

GCD of 143, 465, 38, 859 is 1


2. Where do I get the detailed procedure to find GCD of 143, 465, 38, 859?

You can find a detailed procedure to find GCD of 143, 465, 38, 859 on our page.


3. How to find GCD of 143, 465, 38, 859 on a calculator?

You can find the GCD of 143, 465, 38, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.