GCD of 983, 967, 784, 195 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 983, 967, 784, 195 i.e. 1 largest integer that divides all the numbers equally.

GCD of 983, 967, 784, 195 is 1

GCD(983, 967, 784, 195) = 1

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

GCD of

GCD of numbers 983, 967, 784, 195 is 1

GCD(983, 967, 784, 195) = 1

GCD of 983,967,784,195 Calculator

GCDof 983,967,784,195 is 1

Given Input numbers are 983, 967, 784, 195

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 967

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

1, 967

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 983, 967, 784, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 967, 784, 195 is 1.

Therefore, GCD of numbers 983, 967, 784, 195 is 1

Finding GCD of 983, 967, 784, 195 using Prime Factorization

Given Input Data is 983, 967, 784, 195

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

Prime Factorization of 983 is 983

Prime Factorization of 967 is 967

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 195 is 3 x 5 x 13

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

Finding GCD of 983, 967, 784, 195 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(983, 967) = 950561

GCD(983, 967) = ( 983 x 967 ) / 950561

GCD(983, 967) = 950561 / 950561

GCD(983, 967) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

GCD of 983, 967, 784, 195 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 983, 967, 784, 195

1. What is the GCD of 983, 967, 784, 195?

GCD of 983, 967, 784, 195 is 1


2. Where do I get the detailed procedure to find GCD of 983, 967, 784, 195?

You can find a detailed procedure to find GCD of 983, 967, 784, 195 on our page.


3. How to find GCD of 983, 967, 784, 195 on a calculator?

You can find the GCD of 983, 967, 784, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.