GCD of 971, 917, 19 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, 917, 19 i.e. 1 largest integer that divides all the numbers equally.

GCD of 971, 917, 19 is 1

GCD(971, 917, 19) = 1

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

GCD of

GCD of numbers 971, 917, 19 is 1

GCD(971, 917, 19) = 1

GCD of 971,917,19 Calculator

GCDof 971,917,19 is 1

Given Input numbers are 971, 917, 19

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 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Greatest Common Divisior

We found the divisors of 971, 917, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 917, 19 is 1.

Therefore, GCD of numbers 971, 917, 19 is 1

Finding GCD of 971, 917, 19 using Prime Factorization

Given Input Data is 971, 917, 19

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

Prime Factorization of 971 is 971

Prime Factorization of 917 is 7 x 131

Prime Factorization of 19 is 19

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

Finding GCD of 971, 917, 19 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, 917) = 890407

GCD(971, 917) = ( 971 x 917 ) / 890407

GCD(971, 917) = 890407 / 890407

GCD(971, 917) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

GCD of 971, 917, 19 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 971, 917, 19

1. What is the GCD of 971, 917, 19?

GCD of 971, 917, 19 is 1


2. Where do I get the detailed procedure to find GCD of 971, 917, 19?

You can find a detailed procedure to find GCD of 971, 917, 19 on our page.


3. How to find GCD of 971, 917, 19 on a calculator?

You can find the GCD of 971, 917, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.