GCD of 999, 142, 59, 736 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 999, 142, 59, 736 i.e. 1 largest integer that divides all the numbers equally.

GCD of 999, 142, 59, 736 is 1

GCD(999, 142, 59, 736) = 1

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

GCD of

GCD of numbers 999, 142, 59, 736 is 1

GCD(999, 142, 59, 736) = 1

GCD of 999,142,59,736 Calculator

GCDof 999,142,59,736 is 1

Given Input numbers are 999, 142, 59, 736

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 999, 142, 59, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 142, 59, 736 is 1.

Therefore, GCD of numbers 999, 142, 59, 736 is 1

Finding GCD of 999, 142, 59, 736 using Prime Factorization

Given Input Data is 999, 142, 59, 736

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 142 is 2 x 71

Prime Factorization of 59 is 59

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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

Finding GCD of 999, 142, 59, 736 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(999, 142) = 141858

GCD(999, 142) = ( 999 x 142 ) / 141858

GCD(999, 142) = 141858 / 141858

GCD(999, 142) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 999, 142, 59, 736 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 999, 142, 59, 736

1. What is the GCD of 999, 142, 59, 736?

GCD of 999, 142, 59, 736 is 1


2. Where do I get the detailed procedure to find GCD of 999, 142, 59, 736?

You can find a detailed procedure to find GCD of 999, 142, 59, 736 on our page.


3. How to find GCD of 999, 142, 59, 736 on a calculator?

You can find the GCD of 999, 142, 59, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.