GCD of 967, 931, 19, 984 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 967, 931, 19, 984 i.e. 1 largest integer that divides all the numbers equally.

GCD of 967, 931, 19, 984 is 1

GCD(967, 931, 19, 984) = 1

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

GCD of

GCD of numbers 967, 931, 19, 984 is 1

GCD(967, 931, 19, 984) = 1

GCD of 967,931,19,984 Calculator

GCDof 967,931,19,984 is 1

Given Input numbers are 967, 931, 19, 984

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 19

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

1, 19

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 967, 931, 19, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 931, 19, 984 is 1.

Therefore, GCD of numbers 967, 931, 19, 984 is 1

Finding GCD of 967, 931, 19, 984 using Prime Factorization

Given Input Data is 967, 931, 19, 984

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

Prime Factorization of 967 is 967

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 19 is 19

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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

Finding GCD of 967, 931, 19, 984 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(967, 931) = 900277

GCD(967, 931) = ( 967 x 931 ) / 900277

GCD(967, 931) = 900277 / 900277

GCD(967, 931) = 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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 967, 931, 19, 984 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 967, 931, 19, 984

1. What is the GCD of 967, 931, 19, 984?

GCD of 967, 931, 19, 984 is 1


2. Where do I get the detailed procedure to find GCD of 967, 931, 19, 984?

You can find a detailed procedure to find GCD of 967, 931, 19, 984 on our page.


3. How to find GCD of 967, 931, 19, 984 on a calculator?

You can find the GCD of 967, 931, 19, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.