GCD of 971, 321, 858, 288 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 971, 321, 858, 288 i.e. 1 largest integer that divides all the numbers equally.

GCD of 971, 321, 858, 288 is 1

GCD(971, 321, 858, 288) = 1

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

GCD of

GCD of numbers 971, 321, 858, 288 is 1

GCD(971, 321, 858, 288) = 1

GCD of 971,321,858,288 Calculator

GCDof 971,321,858,288 is 1

Given Input numbers are 971, 321, 858, 288

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 971, 321, 858, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 321, 858, 288 is 1.

Therefore, GCD of numbers 971, 321, 858, 288 is 1

Finding GCD of 971, 321, 858, 288 using Prime Factorization

Given Input Data is 971, 321, 858, 288

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

Prime Factorization of 971 is 971

Prime Factorization of 321 is 3 x 107

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Finding GCD of 971, 321, 858, 288 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(971, 321) = 311691

GCD(971, 321) = ( 971 x 321 ) / 311691

GCD(971, 321) = 311691 / 311691

GCD(971, 321) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 971, 321, 858, 288 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 971, 321, 858, 288

1. What is the GCD of 971, 321, 858, 288?

GCD of 971, 321, 858, 288 is 1


2. Where do I get the detailed procedure to find GCD of 971, 321, 858, 288?

You can find a detailed procedure to find GCD of 971, 321, 858, 288 on our page.


3. How to find GCD of 971, 321, 858, 288 on a calculator?

You can find the GCD of 971, 321, 858, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.