GCD of 971, 375, 27, 683 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, 375, 27, 683 i.e. 1 largest integer that divides all the numbers equally.

GCD of 971, 375, 27, 683 is 1

GCD(971, 375, 27, 683) = 1

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

GCD of

GCD of numbers 971, 375, 27, 683 is 1

GCD(971, 375, 27, 683) = 1

GCD of 971,375,27,683 Calculator

GCDof 971,375,27,683 is 1

Given Input numbers are 971, 375, 27, 683

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 971, 375, 27, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 375, 27, 683 is 1.

Therefore, GCD of numbers 971, 375, 27, 683 is 1

Finding GCD of 971, 375, 27, 683 using Prime Factorization

Given Input Data is 971, 375, 27, 683

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

Prime Factorization of 971 is 971

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 683 is 683

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

Finding GCD of 971, 375, 27, 683 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, 375) = 364125

GCD(971, 375) = ( 971 x 375 ) / 364125

GCD(971, 375) = 364125 / 364125

GCD(971, 375) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 971, 375, 27, 683 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 971, 375, 27, 683

1. What is the GCD of 971, 375, 27, 683?

GCD of 971, 375, 27, 683 is 1


2. Where do I get the detailed procedure to find GCD of 971, 375, 27, 683?

You can find a detailed procedure to find GCD of 971, 375, 27, 683 on our page.


3. How to find GCD of 971, 375, 27, 683 on a calculator?

You can find the GCD of 971, 375, 27, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.