GCD of 201, 869, 34, 728 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 201, 869, 34, 728 i.e. 1 largest integer that divides all the numbers equally.

GCD of 201, 869, 34, 728 is 1

GCD(201, 869, 34, 728) = 1

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

GCD of

GCD of numbers 201, 869, 34, 728 is 1

GCD(201, 869, 34, 728) = 1

GCD of 201,869,34,728 Calculator

GCDof 201,869,34,728 is 1

Given Input numbers are 201, 869, 34, 728

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 201, 869, 34, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 869, 34, 728 is 1.

Therefore, GCD of numbers 201, 869, 34, 728 is 1

Finding GCD of 201, 869, 34, 728 using Prime Factorization

Given Input Data is 201, 869, 34, 728

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 869 is 11 x 79

Prime Factorization of 34 is 2 x 17

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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

Finding GCD of 201, 869, 34, 728 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(201, 869) = 174669

GCD(201, 869) = ( 201 x 869 ) / 174669

GCD(201, 869) = 174669 / 174669

GCD(201, 869) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 201, 869, 34, 728 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 201, 869, 34, 728

1. What is the GCD of 201, 869, 34, 728?

GCD of 201, 869, 34, 728 is 1


2. Where do I get the detailed procedure to find GCD of 201, 869, 34, 728?

You can find a detailed procedure to find GCD of 201, 869, 34, 728 on our page.


3. How to find GCD of 201, 869, 34, 728 on a calculator?

You can find the GCD of 201, 869, 34, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.