GCD of 970, 999, 31, 787 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 970, 999, 31, 787 i.e. 1 largest integer that divides all the numbers equally.

GCD of 970, 999, 31, 787 is 1

GCD(970, 999, 31, 787) = 1

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

GCD of

GCD of numbers 970, 999, 31, 787 is 1

GCD(970, 999, 31, 787) = 1

GCD of 970,999,31,787 Calculator

GCDof 970,999,31,787 is 1

Given Input numbers are 970, 999, 31, 787

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Greatest Common Divisior

We found the divisors of 970, 999, 31, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 999, 31, 787 is 1.

Therefore, GCD of numbers 970, 999, 31, 787 is 1

Finding GCD of 970, 999, 31, 787 using Prime Factorization

Given Input Data is 970, 999, 31, 787

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 31 is 31

Prime Factorization of 787 is 787

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

Finding GCD of 970, 999, 31, 787 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(970, 999) = 969030

GCD(970, 999) = ( 970 x 999 ) / 969030

GCD(970, 999) = 969030 / 969030

GCD(970, 999) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 787

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

LCM(1, 787) = 787

GCD(1, 787) = ( 1 x 787 ) / 787

GCD(1, 787) = 787 / 787

GCD(1, 787) = 1

GCD of 970, 999, 31, 787 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 970, 999, 31, 787

1. What is the GCD of 970, 999, 31, 787?

GCD of 970, 999, 31, 787 is 1


2. Where do I get the detailed procedure to find GCD of 970, 999, 31, 787?

You can find a detailed procedure to find GCD of 970, 999, 31, 787 on our page.


3. How to find GCD of 970, 999, 31, 787 on a calculator?

You can find the GCD of 970, 999, 31, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.