GCD of 971, 471, 178, 843 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, 471, 178, 843 i.e. 1 largest integer that divides all the numbers equally.

GCD of 971, 471, 178, 843 is 1

GCD(971, 471, 178, 843) = 1

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

GCD of

GCD of numbers 971, 471, 178, 843 is 1

GCD(971, 471, 178, 843) = 1

GCD of 971,471,178,843 Calculator

GCDof 971,471,178,843 is 1

Given Input numbers are 971, 471, 178, 843

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 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Greatest Common Divisior

We found the divisors of 971, 471, 178, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 471, 178, 843 is 1.

Therefore, GCD of numbers 971, 471, 178, 843 is 1

Finding GCD of 971, 471, 178, 843 using Prime Factorization

Given Input Data is 971, 471, 178, 843

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

Prime Factorization of 971 is 971

Prime Factorization of 471 is 3 x 157

Prime Factorization of 178 is 2 x 89

Prime Factorization of 843 is 3 x 281

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

Finding GCD of 971, 471, 178, 843 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, 471) = 457341

GCD(971, 471) = ( 971 x 471 ) / 457341

GCD(971, 471) = 457341 / 457341

GCD(971, 471) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 843

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

LCM(1, 843) = 843

GCD(1, 843) = ( 1 x 843 ) / 843

GCD(1, 843) = 843 / 843

GCD(1, 843) = 1

GCD of 971, 471, 178, 843 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 971, 471, 178, 843

1. What is the GCD of 971, 471, 178, 843?

GCD of 971, 471, 178, 843 is 1


2. Where do I get the detailed procedure to find GCD of 971, 471, 178, 843?

You can find a detailed procedure to find GCD of 971, 471, 178, 843 on our page.


3. How to find GCD of 971, 471, 178, 843 on a calculator?

You can find the GCD of 971, 471, 178, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.